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Finding the Third Proportional to 22,543.31 and 32,043.09

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Solution

The third proportional to 22,543.31 and 32,043.09 is: 45,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,543.31 : 32,043.09 = 32,043.09 : x
  2. Step 2: Convert to fraction form
    22,543.31/32,043.09 = 32,043.09/x
  3. Step 3: Cross multiply
    22,543.31x = 32,043.09 × 32,043.09
  4. Step 4: Simplify right side
    22,543.31x = 1,026,759,857.07
  5. Step 5: Solve for x
    x = 1,026,759,857.07/22,543.31
  6. Step 6: Final answer
    x = 45,546.10

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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.