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Finding the Third Proportional to 15,671 and 24,003

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Solution

The third proportional to 15,671 and 24,003 is: 36,764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,671 : 24,003 = 24,003 : x
  2. Step 2: Convert to fraction form
    15,671/24,003 = 24,003/x
  3. Step 3: Cross multiply
    15,671x = 24,003 × 24,003
  4. Step 4: Simplify right side
    15,671x = 576,144,009
  5. Step 5: Solve for x
    x = 576,144,009/15,671
  6. Step 6: Final answer
    x = 36,764.98

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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.