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Finding the Third Proportional to 15,666 and 24,345

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Solution

The third proportional to 15,666 and 24,345 is: 37,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,666 : 24,345 = 24,345 : x
  2. Step 2: Convert to fraction form
    15,666/24,345 = 24,345/x
  3. Step 3: Cross multiply
    15,666x = 24,345 × 24,345
  4. Step 4: Simplify right side
    15,666x = 592,679,025
  5. Step 5: Solve for x
    x = 592,679,025/15,666
  6. Step 6: Final answer
    x = 37,832.19

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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.