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Finding the Third Proportional to 32,307 and 47,182

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Solution

The third proportional to 32,307 and 47,182 is: 68,905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,307 : 47,182 = 47,182 : x
  2. Step 2: Convert to fraction form
    32,307/47,182 = 47,182/x
  3. Step 3: Cross multiply
    32,307x = 47,182 × 47,182
  4. Step 4: Simplify right side
    32,307x = 2,226,141,124
  5. Step 5: Solve for x
    x = 2,226,141,124/32,307
  6. Step 6: Final answer
    x = 68,905.84

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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.