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Finding the Third Proportional to 15,098 and 30,868

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Solution

The third proportional to 15,098 and 30,868 is: 63,109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098 : 30,868 = 30,868 : x
  2. Step 2: Convert to fraction form
    15,098/30,868 = 30,868/x
  3. Step 3: Cross multiply
    15,098x = 30,868 × 30,868
  4. Step 4: Simplify right side
    15,098x = 952,833,424
  5. Step 5: Solve for x
    x = 952,833,424/15,098
  6. Step 6: Final answer
    x = 63,109.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.