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Finding the Third Proportional to 19,957.13 and 30,019.31

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Solution

The third proportional to 19,957.13 and 30,019.31 is: 45,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.13 : 30,019.31 = 30,019.31 : x
  2. Step 2: Convert to fraction form
    19,957.13/30,019.31 = 30,019.31/x
  3. Step 3: Cross multiply
    19,957.13x = 30,019.31 × 30,019.31
  4. Step 4: Simplify right side
    19,957.13x = 901,159,122.97
  5. Step 5: Solve for x
    x = 901,159,122.97/19,957.13
  6. Step 6: Final answer
    x = 45,154.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.