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Finding the Third Proportional to 40,318 and 56,391.50

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Solution

The third proportional to 40,318 and 56,391.50 is: 78,872.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,318 : 56,391.50 = 56,391.50 : x
  2. Step 2: Convert to fraction form
    40,318/56,391.50 = 56,391.50/x
  3. Step 3: Cross multiply
    40,318x = 56,391.50 × 56,391.50
  4. Step 4: Simplify right side
    40,318x = 3,180,001,272.25
  5. Step 5: Solve for x
    x = 3,180,001,272.25/40,318
  6. Step 6: Final answer
    x = 78,872.99

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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.