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Finding the Third Proportional to 13,098 and 28,758

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Solution

The third proportional to 13,098 and 28,758 is: 63,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098 : 28,758 = 28,758 : x
  2. Step 2: Convert to fraction form
    13,098/28,758 = 28,758/x
  3. Step 3: Cross multiply
    13,098x = 28,758 × 28,758
  4. Step 4: Simplify right side
    13,098x = 827,022,564
  5. Step 5: Solve for x
    x = 827,022,564/13,098
  6. Step 6: Final answer
    x = 63,141.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.