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Finding the Third Proportional to 44,473 and 67,627

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Solution

The third proportional to 44,473 and 67,627 is: 102,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,473 : 67,627 = 67,627 : x
  2. Step 2: Convert to fraction form
    44,473/67,627 = 67,627/x
  3. Step 3: Cross multiply
    44,473x = 67,627 × 67,627
  4. Step 4: Simplify right side
    44,473x = 4,573,411,129
  5. Step 5: Solve for x
    x = 4,573,411,129/44,473
  6. Step 6: Final answer
    x = 102,835.68

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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.