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Finding the Third Proportional to 15,324.75 and 23,665.13

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Solution

The third proportional to 15,324.75 and 23,665.13 is: 36,544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,324.75 : 23,665.13 = 23,665.13 : x
  2. Step 2: Convert to fraction form
    15,324.75/23,665.13 = 23,665.13/x
  3. Step 3: Cross multiply
    15,324.75x = 23,665.13 × 23,665.13
  4. Step 4: Simplify right side
    15,324.75x = 560,038,141.27
  5. Step 5: Solve for x
    x = 560,038,141.27/15,324.75
  6. Step 6: Final answer
    x = 36,544.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.