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Finding the Third Proportional to 21,566 and 32,714

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Solution

The third proportional to 21,566 and 32,714 is: 49,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,566 : 32,714 = 32,714 : x
  2. Step 2: Convert to fraction form
    21,566/32,714 = 32,714/x
  3. Step 3: Cross multiply
    21,566x = 32,714 × 32,714
  4. Step 4: Simplify right side
    21,566x = 1,070,205,796
  5. Step 5: Solve for x
    x = 1,070,205,796/21,566
  6. Step 6: Final answer
    x = 49,624.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.