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Finding the Third Proportional to 32,814 and 52,101

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Solution

The third proportional to 32,814 and 52,101 is: 82,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,814 : 52,101 = 52,101 : x
  2. Step 2: Convert to fraction form
    32,814/52,101 = 52,101/x
  3. Step 3: Cross multiply
    32,814x = 52,101 × 52,101
  4. Step 4: Simplify right side
    32,814x = 2,714,514,201
  5. Step 5: Solve for x
    x = 2,714,514,201/32,814
  6. Step 6: Final answer
    x = 82,724.27

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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.