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Finding the Third Proportional to 15,603 and 24,007

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Solution

The third proportional to 15,603 and 24,007 is: 36,937.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,603 : 24,007 = 24,007 : x
  2. Step 2: Convert to fraction form
    15,603/24,007 = 24,007/x
  3. Step 3: Cross multiply
    15,603x = 24,007 × 24,007
  4. Step 4: Simplify right side
    15,603x = 576,336,049
  5. Step 5: Solve for x
    x = 576,336,049/15,603
  6. Step 6: Final answer
    x = 36,937.52

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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.