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Finding the Third Proportional to 15,159.75 and 23,269.13

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Solution

The third proportional to 15,159.75 and 23,269.13 is: 35,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,159.75 : 23,269.13 = 23,269.13 : x
  2. Step 2: Convert to fraction form
    15,159.75/23,269.13 = 23,269.13/x
  3. Step 3: Cross multiply
    15,159.75x = 23,269.13 × 23,269.13
  4. Step 4: Simplify right side
    15,159.75x = 541,452,178.27
  5. Step 5: Solve for x
    x = 541,452,178.27/15,159.75
  6. Step 6: Final answer
    x = 35,716.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.