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Finding the Third Proportional to 21,802 and 32,617

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Solution

The third proportional to 21,802 and 32,617 is: 48,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802 : 32,617 = 32,617 : x
  2. Step 2: Convert to fraction form
    21,802/32,617 = 32,617/x
  3. Step 3: Cross multiply
    21,802x = 32,617 × 32,617
  4. Step 4: Simplify right side
    21,802x = 1,063,868,689
  5. Step 5: Solve for x
    x = 1,063,868,689/21,802
  6. Step 6: Final answer
    x = 48,796.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.