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Finding the Third Proportional to 44,560 and 62,695

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Solution

The third proportional to 44,560 and 62,695 is: 88,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,560 : 62,695 = 62,695 : x
  2. Step 2: Convert to fraction form
    44,560/62,695 = 62,695/x
  3. Step 3: Cross multiply
    44,560x = 62,695 × 62,695
  4. Step 4: Simplify right side
    44,560x = 3,930,663,025
  5. Step 5: Solve for x
    x = 3,930,663,025/44,560
  6. Step 6: Final answer
    x = 88,210.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.