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Finding the Third Proportional to 32,286 and 47,142

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Solution

The third proportional to 32,286 and 47,142 is: 68,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286 : 47,142 = 47,142 : x
  2. Step 2: Convert to fraction form
    32,286/47,142 = 47,142/x
  3. Step 3: Cross multiply
    32,286x = 47,142 × 47,142
  4. Step 4: Simplify right side
    32,286x = 2,222,368,164
  5. Step 5: Solve for x
    x = 2,222,368,164/32,286
  6. Step 6: Final answer
    x = 68,833.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.