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Finding the Third Proportional to 20,962.41 and 31,158.42

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Solution

The third proportional to 20,962.41 and 31,158.42 is: 46,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,962.41 : 31,158.42 = 31,158.42 : x
  2. Step 2: Convert to fraction form
    20,962.41/31,158.42 = 31,158.42/x
  3. Step 3: Cross multiply
    20,962.41x = 31,158.42 × 31,158.42
  4. Step 4: Simplify right side
    20,962.41x = 970,847,253.74
  5. Step 5: Solve for x
    x = 970,847,253.74/20,962.41
  6. Step 6: Final answer
    x = 46,313.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.