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Finding the Third Proportional to 10,234 and 11,854

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Solution

The third proportional to 10,234 and 11,854 is: 13,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234 : 11,854 = 11,854 : x
  2. Step 2: Convert to fraction form
    10,234/11,854 = 11,854/x
  3. Step 3: Cross multiply
    10,234x = 11,854 × 11,854
  4. Step 4: Simplify right side
    10,234x = 140,517,316
  5. Step 5: Solve for x
    x = 140,517,316/10,234
  6. Step 6: Final answer
    x = 13,730.44

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.