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Finding the Third Proportional to 15,786 and 24,509

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Solution

The third proportional to 15,786 and 24,509 is: 38,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786 : 24,509 = 24,509 : x
  2. Step 2: Convert to fraction form
    15,786/24,509 = 24,509/x
  3. Step 3: Cross multiply
    15,786x = 24,509 × 24,509
  4. Step 4: Simplify right side
    15,786x = 600,691,081
  5. Step 5: Solve for x
    x = 600,691,081/15,786
  6. Step 6: Final answer
    x = 38,052.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.