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Finding the Third Proportional to 32,421.38 and 48,426.19

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Solution

The third proportional to 32,421.38 and 48,426.19 is: 72,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,421.38 : 48,426.19 = 48,426.19 : x
  2. Step 2: Convert to fraction form
    32,421.38/48,426.19 = 48,426.19/x
  3. Step 3: Cross multiply
    32,421.38x = 48,426.19 × 48,426.19
  4. Step 4: Simplify right side
    32,421.38x = 2,345,095,635.79
  5. Step 5: Solve for x
    x = 2,345,095,635.79/32,421.38
  6. Step 6: Final answer
    x = 72,331.78

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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.