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Finding the Third Proportional to 10,769 and 12,239

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Solution

The third proportional to 10,769 and 12,239 is: 13,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769 : 12,239 = 12,239 : x
  2. Step 2: Convert to fraction form
    10,769/12,239 = 12,239/x
  3. Step 3: Cross multiply
    10,769x = 12,239 × 12,239
  4. Step 4: Simplify right side
    10,769x = 149,793,121
  5. Step 5: Solve for x
    x = 149,793,121/10,769
  6. Step 6: Final answer
    x = 13,909.66

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.