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Finding the Third Proportional to 7,232.91 and 15,778.69

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Solution

The third proportional to 7,232.91 and 15,778.69 is: 34,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.91 : 15,778.69 = 15,778.69 : x
  2. Step 2: Convert to fraction form
    7,232.91/15,778.69 = 15,778.69/x
  3. Step 3: Cross multiply
    7,232.91x = 15,778.69 × 15,778.69
  4. Step 4: Simplify right side
    7,232.91x = 248,966,979.22
  5. Step 5: Solve for x
    x = 248,966,979.22/7,232.91
  6. Step 6: Final answer
    x = 34,421.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.