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Finding the Third Proportional to 22,707 and 34,660.13

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Solution

The third proportional to 22,707 and 34,660.13 is: 52,905.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,707 : 34,660.13 = 34,660.13 : x
  2. Step 2: Convert to fraction form
    22,707/34,660.13 = 34,660.13/x
  3. Step 3: Cross multiply
    22,707x = 34,660.13 × 34,660.13
  4. Step 4: Simplify right side
    22,707x = 1,201,324,265.02
  5. Step 5: Solve for x
    x = 1,201,324,265.02/22,707
  6. Step 6: Final answer
    x = 52,905.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.