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Finding the Third Proportional to 22,493.25 and 32,042.25

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Solution

The third proportional to 22,493.25 and 32,042.25 is: 45,645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.25 : 32,042.25 = 32,042.25 : x
  2. Step 2: Convert to fraction form
    22,493.25/32,042.25 = 32,042.25/x
  3. Step 3: Cross multiply
    22,493.25x = 32,042.25 × 32,042.25
  4. Step 4: Simplify right side
    22,493.25x = 1,026,705,785.06
  5. Step 5: Solve for x
    x = 1,026,705,785.06/22,493.25
  6. Step 6: Final answer
    x = 45,645.06

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.