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Finding the Third Proportional to 13,909 and 30,927.69

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Solution

The third proportional to 13,909 and 30,927.69 is: 68,769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909 : 30,927.69 = 30,927.69 : x
  2. Step 2: Convert to fraction form
    13,909/30,927.69 = 30,927.69/x
  3. Step 3: Cross multiply
    13,909x = 30,927.69 × 30,927.69
  4. Step 4: Simplify right side
    13,909x = 956,521,854.10
  5. Step 5: Solve for x
    x = 956,521,854.10/13,909
  6. Step 6: Final answer
    x = 68,769.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.