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Finding the Third Proportional to 22,862 and 32,025

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Solution

The third proportional to 22,862 and 32,025 is: 44,860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862 : 32,025 = 32,025 : x
  2. Step 2: Convert to fraction form
    22,862/32,025 = 32,025/x
  3. Step 3: Cross multiply
    22,862x = 32,025 × 32,025
  4. Step 4: Simplify right side
    22,862x = 1,025,600,625
  5. Step 5: Solve for x
    x = 1,025,600,625/22,862
  6. Step 6: Final answer
    x = 44,860.49

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.