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Finding the Third Proportional to 32,465.25 and 48,697.88

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Solution

The third proportional to 32,465.25 and 48,697.88 is: 73,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465.25 : 48,697.88 = 48,697.88 : x
  2. Step 2: Convert to fraction form
    32,465.25/48,697.88 = 48,697.88/x
  3. Step 3: Cross multiply
    32,465.25x = 48,697.88 × 48,697.88
  4. Step 4: Simplify right side
    32,465.25x = 2,371,483,029.52
  5. Step 5: Solve for x
    x = 2,371,483,029.52/32,465.25
  6. Step 6: Final answer
    x = 73,046.81

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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.