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Finding the Third Proportional to 20,145.38 and 29,489.06

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Solution

The third proportional to 20,145.38 and 29,489.06 is: 43,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145.38 : 29,489.06 = 29,489.06 : x
  2. Step 2: Convert to fraction form
    20,145.38/29,489.06 = 29,489.06/x
  3. Step 3: Cross multiply
    20,145.38x = 29,489.06 × 29,489.06
  4. Step 4: Simplify right side
    20,145.38x = 869,604,807.13
  5. Step 5: Solve for x
    x = 869,604,807.13/20,145.38
  6. Step 6: Final answer
    x = 43,166.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.