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Finding the Third Proportional to 47,698 and 75,512

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Solution

The third proportional to 47,698 and 75,512 is: 119,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,698 : 75,512 = 75,512 : x
  2. Step 2: Convert to fraction form
    47,698/75,512 = 75,512/x
  3. Step 3: Cross multiply
    47,698x = 75,512 × 75,512
  4. Step 4: Simplify right side
    47,698x = 5,702,062,144
  5. Step 5: Solve for x
    x = 5,702,062,144/47,698
  6. Step 6: Final answer
    x = 119,545.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.