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Finding the Third Proportional to 32,262.05 and 48,224.11

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Solution

The third proportional to 32,262.05 and 48,224.11 is: 72,083.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,262.05 : 48,224.11 = 48,224.11 : x
  2. Step 2: Convert to fraction form
    32,262.05/48,224.11 = 48,224.11/x
  3. Step 3: Cross multiply
    32,262.05x = 48,224.11 × 48,224.11
  4. Step 4: Simplify right side
    32,262.05x = 2,325,564,725.01
  5. Step 5: Solve for x
    x = 2,325,564,725.01/32,262.05
  6. Step 6: Final answer
    x = 72,083.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.