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Finding the Third Proportional to 40,107.75 and 56,197.50

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Solution

The third proportional to 40,107.75 and 56,197.50 is: 78,741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,107.75 : 56,197.50 = 56,197.50 : x
  2. Step 2: Convert to fraction form
    40,107.75/56,197.50 = 56,197.50/x
  3. Step 3: Cross multiply
    40,107.75x = 56,197.50 × 56,197.50
  4. Step 4: Simplify right side
    40,107.75x = 3,158,159,006.25
  5. Step 5: Solve for x
    x = 3,158,159,006.25/40,107.75
  6. Step 6: Final answer
    x = 78,741.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.