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Finding the Third Proportional to 30,808.13 and 63,076.13

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Solution

The third proportional to 30,808.13 and 63,076.13 is: 129,141.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,808.13 : 63,076.13 = 63,076.13 : x
  2. Step 2: Convert to fraction form
    30,808.13/63,076.13 = 63,076.13/x
  3. Step 3: Cross multiply
    30,808.13x = 63,076.13 × 63,076.13
  4. Step 4: Simplify right side
    30,808.13x = 3,978,597,545.02
  5. Step 5: Solve for x
    x = 3,978,597,545.02/30,808.13
  6. Step 6: Final answer
    x = 129,141.18

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.