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Finding the Third Proportional to 20,306.25 and 30,459.38

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Solution

The third proportional to 20,306.25 and 30,459.38 is: 45,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,306.25 : 30,459.38 = 30,459.38 : x
  2. Step 2: Convert to fraction form
    20,306.25/30,459.38 = 30,459.38/x
  3. Step 3: Cross multiply
    20,306.25x = 30,459.38 × 30,459.38
  4. Step 4: Simplify right side
    20,306.25x = 927,773,525.39
  5. Step 5: Solve for x
    x = 927,773,525.39/20,306.25
  6. Step 6: Final answer
    x = 45,689.06

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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.