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Finding the Third Proportional to 12,098 and 29,417

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Solution

The third proportional to 12,098 and 29,417 is: 71,529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098 : 29,417 = 29,417 : x
  2. Step 2: Convert to fraction form
    12,098/29,417 = 29,417/x
  3. Step 3: Cross multiply
    12,098x = 29,417 × 29,417
  4. Step 4: Simplify right side
    12,098x = 865,359,889
  5. Step 5: Solve for x
    x = 865,359,889/12,098
  6. Step 6: Final answer
    x = 71,529.17

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.