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Finding the Third Proportional to 15,670 and 24,001

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Solution

The third proportional to 15,670 and 24,001 is: 36,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,670 : 24,001 = 24,001 : x
  2. Step 2: Convert to fraction form
    15,670/24,001 = 24,001/x
  3. Step 3: Cross multiply
    15,670x = 24,001 × 24,001
  4. Step 4: Simplify right side
    15,670x = 576,048,001
  5. Step 5: Solve for x
    x = 576,048,001/15,670
  6. Step 6: Final answer
    x = 36,761.20

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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.