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Finding the Third Proportional to 32,292.42 and 68,497.52

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Solution

The third proportional to 32,292.42 and 68,497.52 is: 145,294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,292.42 : 68,497.52 = 68,497.52 : x
  2. Step 2: Convert to fraction form
    32,292.42/68,497.52 = 68,497.52/x
  3. Step 3: Cross multiply
    32,292.42x = 68,497.52 × 68,497.52
  4. Step 4: Simplify right side
    32,292.42x = 4,691,910,717.07
  5. Step 5: Solve for x
    x = 4,691,910,717.07/32,292.42
  6. Step 6: Final answer
    x = 145,294.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.