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Finding the Third Proportional to 32,265.75 and 48,412.13

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Solution

The third proportional to 32,265.75 and 48,412.13 is: 72,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,265.75 : 48,412.13 = 48,412.13 : x
  2. Step 2: Convert to fraction form
    32,265.75/48,412.13 = 48,412.13/x
  3. Step 3: Cross multiply
    32,265.75x = 48,412.13 × 48,412.13
  4. Step 4: Simplify right side
    32,265.75x = 2,343,733,847.02
  5. Step 5: Solve for x
    x = 2,343,733,847.02/32,265.75
  6. Step 6: Final answer
    x = 72,638.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.