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Finding the Third Proportional to 44,564 and 62,702

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Solution

The third proportional to 44,564 and 62,702 is: 88,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,564 : 62,702 = 62,702 : x
  2. Step 2: Convert to fraction form
    44,564/62,702 = 62,702/x
  3. Step 3: Cross multiply
    44,564x = 62,702 × 62,702
  4. Step 4: Simplify right side
    44,564x = 3,931,540,804
  5. Step 5: Solve for x
    x = 3,931,540,804/44,564
  6. Step 6: Final answer
    x = 88,222.35

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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.