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Finding the Third Proportional to 13,398.50 and 29,103

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Solution

The third proportional to 13,398.50 and 29,103 is: 63,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.50 : 29,103 = 29,103 : x
  2. Step 2: Convert to fraction form
    13,398.50/29,103 = 29,103/x
  3. Step 3: Cross multiply
    13,398.50x = 29,103 × 29,103
  4. Step 4: Simplify right side
    13,398.50x = 846,984,609
  5. Step 5: Solve for x
    x = 846,984,609/13,398.50
  6. Step 6: Final answer
    x = 63,214.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.