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Finding the Third Proportional to 11,343.16 and 15,269.13

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Solution

The third proportional to 11,343.16 and 15,269.13 is: 20,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.16 : 15,269.13 = 15,269.13 : x
  2. Step 2: Convert to fraction form
    11,343.16/15,269.13 = 15,269.13/x
  3. Step 3: Cross multiply
    11,343.16x = 15,269.13 × 15,269.13
  4. Step 4: Simplify right side
    11,343.16x = 233,146,416.85
  5. Step 5: Solve for x
    x = 233,146,416.85/11,343.16
  6. Step 6: Final answer
    x = 20,553.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.