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Finding the Third Proportional to 44,854.50 and 70,372.50

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Solution

The third proportional to 44,854.50 and 70,372.50 is: 110,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,854.50 : 70,372.50 = 70,372.50 : x
  2. Step 2: Convert to fraction form
    44,854.50/70,372.50 = 70,372.50/x
  3. Step 3: Cross multiply
    44,854.50x = 70,372.50 × 70,372.50
  4. Step 4: Simplify right side
    44,854.50x = 4,952,288,756.25
  5. Step 5: Solve for x
    x = 4,952,288,756.25/44,854.50
  6. Step 6: Final answer
    x = 110,407.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.