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Finding the Third Proportional to 47,498 and 63,754

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Solution

The third proportional to 47,498 and 63,754 is: 85,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,498 : 63,754 = 63,754 : x
  2. Step 2: Convert to fraction form
    47,498/63,754 = 63,754/x
  3. Step 3: Cross multiply
    47,498x = 63,754 × 63,754
  4. Step 4: Simplify right side
    47,498x = 4,064,572,516
  5. Step 5: Solve for x
    x = 4,064,572,516/47,498
  6. Step 6: Final answer
    x = 85,573.55

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.