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Finding the Third Proportional to 47,538 and 66,459

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Solution

The third proportional to 47,538 and 66,459 is: 92,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,538 : 66,459 = 66,459 : x
  2. Step 2: Convert to fraction form
    47,538/66,459 = 66,459/x
  3. Step 3: Cross multiply
    47,538x = 66,459 × 66,459
  4. Step 4: Simplify right side
    47,538x = 4,416,798,681
  5. Step 5: Solve for x
    x = 4,416,798,681/47,538
  6. Step 6: Final answer
    x = 92,910.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.