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Finding the Third Proportional to 32,217.75 and 48,386.25

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Solution

The third proportional to 32,217.75 and 48,386.25 is: 72,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,217.75 : 48,386.25 = 48,386.25 : x
  2. Step 2: Convert to fraction form
    32,217.75/48,386.25 = 48,386.25/x
  3. Step 3: Cross multiply
    32,217.75x = 48,386.25 × 48,386.25
  4. Step 4: Simplify right side
    32,217.75x = 2,341,229,189.06
  5. Step 5: Solve for x
    x = 2,341,229,189.06/32,217.75
  6. Step 6: Final answer
    x = 72,668.92

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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.