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Finding the Third Proportional to 7,154.91 and 15,541.31

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Solution

The third proportional to 7,154.91 and 15,541.31 is: 33,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.91 : 15,541.31 = 15,541.31 : x
  2. Step 2: Convert to fraction form
    7,154.91/15,541.31 = 15,541.31/x
  3. Step 3: Cross multiply
    7,154.91x = 15,541.31 × 15,541.31
  4. Step 4: Simplify right side
    7,154.91x = 241,532,394.22
  5. Step 5: Solve for x
    x = 241,532,394.22/7,154.91
  6. Step 6: Final answer
    x = 33,757.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.