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Finding the Third Proportional to 20,182.88 and 30,281.06

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Solution

The third proportional to 20,182.88 and 30,281.06 is: 45,431.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.88 : 30,281.06 = 30,281.06 : x
  2. Step 2: Convert to fraction form
    20,182.88/30,281.06 = 30,281.06/x
  3. Step 3: Cross multiply
    20,182.88x = 30,281.06 × 30,281.06
  4. Step 4: Simplify right side
    20,182.88x = 916,942,746.13
  5. Step 5: Solve for x
    x = 916,942,746.13/20,182.88
  6. Step 6: Final answer
    x = 45,431.72

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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.