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Finding the Third Proportional to 12,233.53 and 22,006.69

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Solution

The third proportional to 12,233.53 and 22,006.69 is: 39,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.53 : 22,006.69 = 22,006.69 : x
  2. Step 2: Convert to fraction form
    12,233.53/22,006.69 = 22,006.69/x
  3. Step 3: Cross multiply
    12,233.53x = 22,006.69 × 22,006.69
  4. Step 4: Simplify right side
    12,233.53x = 484,294,294.72
  5. Step 5: Solve for x
    x = 484,294,294.72/12,233.53
  6. Step 6: Final answer
    x = 39,587.45

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.