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Finding the Third Proportional to 32,215.54 and 48,323.30

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Solution

The third proportional to 32,215.54 and 48,323.30 is: 72,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,215.54 : 48,323.30 = 48,323.30 : x
  2. Step 2: Convert to fraction form
    32,215.54/48,323.30 = 48,323.30/x
  3. Step 3: Cross multiply
    32,215.54x = 48,323.30 × 48,323.30
  4. Step 4: Simplify right side
    32,215.54x = 2,335,141,587.16
  5. Step 5: Solve for x
    x = 2,335,141,587.16/32,215.54
  6. Step 6: Final answer
    x = 72,484.95

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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.