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Finding the Third Proportional to 7,443.75 and 15,654.38

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Solution

The third proportional to 7,443.75 and 15,654.38 is: 32,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.75 : 15,654.38 = 15,654.38 : x
  2. Step 2: Convert to fraction form
    7,443.75/15,654.38 = 15,654.38/x
  3. Step 3: Cross multiply
    7,443.75x = 15,654.38 × 15,654.38
  4. Step 4: Simplify right side
    7,443.75x = 245,059,456.64
  5. Step 5: Solve for x
    x = 245,059,456.64/7,443.75
  6. Step 6: Final answer
    x = 32,921.51

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.