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Finding the Third Proportional to 9,122.20 and 19,743.71

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Solution

The third proportional to 9,122.20 and 19,743.71 is: 42,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.20 : 19,743.71 = 19,743.71 : x
  2. Step 2: Convert to fraction form
    9,122.20/19,743.71 = 19,743.71/x
  3. Step 3: Cross multiply
    9,122.20x = 19,743.71 × 19,743.71
  4. Step 4: Simplify right side
    9,122.20x = 389,814,275.83
  5. Step 5: Solve for x
    x = 389,814,275.83/9,122.20
  6. Step 6: Final answer
    x = 42,732.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.