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Finding the Third Proportional to 12,136.50 and 29,521.13

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Solution

The third proportional to 12,136.50 and 29,521.13 is: 71,807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.50 : 29,521.13 = 29,521.13 : x
  2. Step 2: Convert to fraction form
    12,136.50/29,521.13 = 29,521.13/x
  3. Step 3: Cross multiply
    12,136.50x = 29,521.13 × 29,521.13
  4. Step 4: Simplify right side
    12,136.50x = 871,496,821.27
  5. Step 5: Solve for x
    x = 871,496,821.27/12,136.50
  6. Step 6: Final answer
    x = 71,807.92

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.