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Finding the Third Proportional to 15,528.38 and 24,215.20

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Solution

The third proportional to 15,528.38 and 24,215.20 is: 37,761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,528.38 : 24,215.20 = 24,215.20 : x
  2. Step 2: Convert to fraction form
    15,528.38/24,215.20 = 24,215.20/x
  3. Step 3: Cross multiply
    15,528.38x = 24,215.20 × 24,215.20
  4. Step 4: Simplify right side
    15,528.38x = 586,376,062.39
  5. Step 5: Solve for x
    x = 586,376,062.39/15,528.38
  6. Step 6: Final answer
    x = 37,761.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.