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Finding the Third Proportional to 32,289.75 and 48,433.50

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Solution

The third proportional to 32,289.75 and 48,433.50 is: 72,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,289.75 : 48,433.50 = 48,433.50 : x
  2. Step 2: Convert to fraction form
    32,289.75/48,433.50 = 48,433.50/x
  3. Step 3: Cross multiply
    32,289.75x = 48,433.50 × 48,433.50
  4. Step 4: Simplify right side
    32,289.75x = 2,345,803,922.25
  5. Step 5: Solve for x
    x = 2,345,803,922.25/32,289.75
  6. Step 6: Final answer
    x = 72,648.56

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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.