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Finding the Third Proportional to 15,966.75 and 24,508.13

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Solution

The third proportional to 15,966.75 and 24,508.13 is: 37,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,966.75 : 24,508.13 = 24,508.13 : x
  2. Step 2: Convert to fraction form
    15,966.75/24,508.13 = 24,508.13/x
  3. Step 3: Cross multiply
    15,966.75x = 24,508.13 × 24,508.13
  4. Step 4: Simplify right side
    15,966.75x = 600,648,191.02
  5. Step 5: Solve for x
    x = 600,648,191.02/15,966.75
  6. Step 6: Final answer
    x = 37,618.69

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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.