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Finding the Third Proportional to 10,114 and 15,717

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Solution

The third proportional to 10,114 and 15,717 is: 24,423.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114 : 15,717 = 15,717 : x
  2. Step 2: Convert to fraction form
    10,114/15,717 = 15,717/x
  3. Step 3: Cross multiply
    10,114x = 15,717 × 15,717
  4. Step 4: Simplify right side
    10,114x = 247,024,089
  5. Step 5: Solve for x
    x = 247,024,089/10,114
  6. Step 6: Final answer
    x = 24,423.98

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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.