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Finding the Third Proportional to 47,854 and 68,498

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Solution

The third proportional to 47,854 and 68,498 is: 98,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,854 : 68,498 = 68,498 : x
  2. Step 2: Convert to fraction form
    47,854/68,498 = 68,498/x
  3. Step 3: Cross multiply
    47,854x = 68,498 × 68,498
  4. Step 4: Simplify right side
    47,854x = 4,691,976,004
  5. Step 5: Solve for x
    x = 4,691,976,004/47,854
  6. Step 6: Final answer
    x = 98,047.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.