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Finding the Third Proportional to 22,780.22 and 32,065.31

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Solution

The third proportional to 22,780.22 and 32,065.31 is: 45,134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,780.22 : 32,065.31 = 32,065.31 : x
  2. Step 2: Convert to fraction form
    22,780.22/32,065.31 = 32,065.31/x
  3. Step 3: Cross multiply
    22,780.22x = 32,065.31 × 32,065.31
  4. Step 4: Simplify right side
    22,780.22x = 1,028,184,265.72
  5. Step 5: Solve for x
    x = 1,028,184,265.72/22,780.22
  6. Step 6: Final answer
    x = 45,134.96

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.