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Finding the Third Proportional to 15,865.88 and 24,306.75

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Solution

The third proportional to 15,865.88 and 24,306.75 is: 37,238.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.88 : 24,306.75 = 24,306.75 : x
  2. Step 2: Convert to fraction form
    15,865.88/24,306.75 = 24,306.75/x
  3. Step 3: Cross multiply
    15,865.88x = 24,306.75 × 24,306.75
  4. Step 4: Simplify right side
    15,865.88x = 590,818,095.56
  5. Step 5: Solve for x
    x = 590,818,095.56/15,865.88
  6. Step 6: Final answer
    x = 37,238.29

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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.