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Finding the Third Proportional to 31,098 and 46,872

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Solution

The third proportional to 31,098 and 46,872 is: 70,647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098 : 46,872 = 46,872 : x
  2. Step 2: Convert to fraction form
    31,098/46,872 = 46,872/x
  3. Step 3: Cross multiply
    31,098x = 46,872 × 46,872
  4. Step 4: Simplify right side
    31,098x = 2,196,984,384
  5. Step 5: Solve for x
    x = 2,196,984,384/31,098
  6. Step 6: Final answer
    x = 70,647.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.