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Finding the Third Proportional to 20,108.25 and 29,581.45

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Solution

The third proportional to 20,108.25 and 29,581.45 is: 43,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,108.25 : 29,581.45 = 29,581.45 : x
  2. Step 2: Convert to fraction form
    20,108.25/29,581.45 = 29,581.45/x
  3. Step 3: Cross multiply
    20,108.25x = 29,581.45 × 29,581.45
  4. Step 4: Simplify right side
    20,108.25x = 875,062,368.99
  5. Step 5: Solve for x
    x = 875,062,368.99/20,108.25
  6. Step 6: Final answer
    x = 43,517.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.