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Finding the Third Proportional to 32,860 and 52,101

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Solution

The third proportional to 32,860 and 52,101 is: 82,608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,860 : 52,101 = 52,101 : x
  2. Step 2: Convert to fraction form
    32,860/52,101 = 52,101/x
  3. Step 3: Cross multiply
    32,860x = 52,101 × 52,101
  4. Step 4: Simplify right side
    32,860x = 2,714,514,201
  5. Step 5: Solve for x
    x = 2,714,514,201/32,860
  6. Step 6: Final answer
    x = 82,608.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.