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Finding the Third Proportional to 20,298.09 and 31,886.16

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Solution

The third proportional to 20,298.09 and 31,886.16 is: 50,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.09 : 31,886.16 = 31,886.16 : x
  2. Step 2: Convert to fraction form
    20,298.09/31,886.16 = 31,886.16/x
  3. Step 3: Cross multiply
    20,298.09x = 31,886.16 × 31,886.16
  4. Step 4: Simplify right side
    20,298.09x = 1,016,726,960.40
  5. Step 5: Solve for x
    x = 1,016,726,960.40/20,298.09
  6. Step 6: Final answer
    x = 50,089.78

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.