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Finding the Third Proportional to 47,523 and 66,441

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Solution

The third proportional to 47,523 and 66,441 is: 92,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,523 : 66,441 = 66,441 : x
  2. Step 2: Convert to fraction form
    47,523/66,441 = 66,441/x
  3. Step 3: Cross multiply
    47,523x = 66,441 × 66,441
  4. Step 4: Simplify right side
    47,523x = 4,414,406,481
  5. Step 5: Solve for x
    x = 4,414,406,481/47,523
  6. Step 6: Final answer
    x = 92,889.90

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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.