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Finding the Third Proportional to 22,654.88 and 33,314.06

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Solution

The third proportional to 22,654.88 and 33,314.06 is: 48,988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,654.88 : 33,314.06 = 33,314.06 : x
  2. Step 2: Convert to fraction form
    22,654.88/33,314.06 = 33,314.06/x
  3. Step 3: Cross multiply
    22,654.88x = 33,314.06 × 33,314.06
  4. Step 4: Simplify right side
    22,654.88x = 1,109,826,760.25
  5. Step 5: Solve for x
    x = 1,109,826,760.25/22,654.88
  6. Step 6: Final answer
    x = 48,988.43

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