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Finding the Third Proportional to 44,475 and 67,629

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Solution

The third proportional to 44,475 and 67,629 is: 102,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,475 : 67,629 = 67,629 : x
  2. Step 2: Convert to fraction form
    44,475/67,629 = 67,629/x
  3. Step 3: Cross multiply
    44,475x = 67,629 × 67,629
  4. Step 4: Simplify right side
    44,475x = 4,573,681,641
  5. Step 5: Solve for x
    x = 4,573,681,641/44,475
  6. Step 6: Final answer
    x = 102,837.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.