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Finding the Third Proportional to 32,832.84 and 48,200.06

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Solution

The third proportional to 32,832.84 and 48,200.06 is: 70,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,832.84 : 48,200.06 = 48,200.06 : x
  2. Step 2: Convert to fraction form
    32,832.84/48,200.06 = 48,200.06/x
  3. Step 3: Cross multiply
    32,832.84x = 48,200.06 × 48,200.06
  4. Step 4: Simplify right side
    32,832.84x = 2,323,246,025.00
  5. Step 5: Solve for x
    x = 2,323,246,025.00/32,832.84
  6. Step 6: Final answer
    x = 70,759.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.