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Finding the Third Proportional to 20,330.16 and 31,287.94

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Solution

The third proportional to 20,330.16 and 31,287.94 is: 48,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,330.16 : 31,287.94 = 31,287.94 : x
  2. Step 2: Convert to fraction form
    20,330.16/31,287.94 = 31,287.94/x
  3. Step 3: Cross multiply
    20,330.16x = 31,287.94 × 31,287.94
  4. Step 4: Simplify right side
    20,330.16x = 978,935,033.00
  5. Step 5: Solve for x
    x = 978,935,033.00/20,330.16
  6. Step 6: Final answer
    x = 48,151.87

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.