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Finding the Third Proportional to 29,800.13 and 65,136.38

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Solution

The third proportional to 29,800.13 and 65,136.38 is: 142,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,800.13 : 65,136.38 = 65,136.38 : x
  2. Step 2: Convert to fraction form
    29,800.13/65,136.38 = 65,136.38/x
  3. Step 3: Cross multiply
    29,800.13x = 65,136.38 × 65,136.38
  4. Step 4: Simplify right side
    29,800.13x = 4,242,747,348.14
  5. Step 5: Solve for x
    x = 4,242,747,348.14/29,800.13
  6. Step 6: Final answer
    x = 142,373.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.