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Finding the Third Proportional to 44,265 and 67,688

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Solution

The third proportional to 44,265 and 67,688 is: 103,505.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,265 : 67,688 = 67,688 : x
  2. Step 2: Convert to fraction form
    44,265/67,688 = 67,688/x
  3. Step 3: Cross multiply
    44,265x = 67,688 × 67,688
  4. Step 4: Simplify right side
    44,265x = 4,581,665,344
  5. Step 5: Solve for x
    x = 4,581,665,344/44,265
  6. Step 6: Final answer
    x = 103,505.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.