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Finding the Third Proportional to 44,417 and 58,688

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Solution

The third proportional to 44,417 and 58,688 is: 77,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,417 : 58,688 = 58,688 : x
  2. Step 2: Convert to fraction form
    44,417/58,688 = 58,688/x
  3. Step 3: Cross multiply
    44,417x = 58,688 × 58,688
  4. Step 4: Simplify right side
    44,417x = 3,444,281,344
  5. Step 5: Solve for x
    x = 3,444,281,344/44,417
  6. Step 6: Final answer
    x = 77,544.21

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.