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Finding the Third Proportional to 44,642 and 60,629

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Solution

The third proportional to 44,642 and 60,629 is: 82,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,642 : 60,629 = 60,629 : x
  2. Step 2: Convert to fraction form
    44,642/60,629 = 60,629/x
  3. Step 3: Cross multiply
    44,642x = 60,629 × 60,629
  4. Step 4: Simplify right side
    44,642x = 3,675,875,641
  5. Step 5: Solve for x
    x = 3,675,875,641/44,642
  6. Step 6: Final answer
    x = 82,341.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.