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Finding the Third Proportional to 7,990.31 and 17,538.61

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Solution

The third proportional to 7,990.31 and 17,538.61 is: 38,496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,990.31 : 17,538.61 = 17,538.61 : x
  2. Step 2: Convert to fraction form
    7,990.31/17,538.61 = 17,538.61/x
  3. Step 3: Cross multiply
    7,990.31x = 17,538.61 × 17,538.61
  4. Step 4: Simplify right side
    7,990.31x = 307,602,818.81
  5. Step 5: Solve for x
    x = 307,602,818.81/7,990.31
  6. Step 6: Final answer
    x = 38,496.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.