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Finding the Third Proportional to 32,901.25 and 48,123.25

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Solution

The third proportional to 32,901.25 and 48,123.25 is: 70,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,901.25 : 48,123.25 = 48,123.25 : x
  2. Step 2: Convert to fraction form
    32,901.25/48,123.25 = 48,123.25/x
  3. Step 3: Cross multiply
    32,901.25x = 48,123.25 × 48,123.25
  4. Step 4: Simplify right side
    32,901.25x = 2,315,847,190.56
  5. Step 5: Solve for x
    x = 2,315,847,190.56/32,901.25
  6. Step 6: Final answer
    x = 70,387.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.