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Finding the Third Proportional to 21,714 and 44,580

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Solution

The third proportional to 21,714 and 44,580 is: 91,525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714 : 44,580 = 44,580 : x
  2. Step 2: Convert to fraction form
    21,714/44,580 = 44,580/x
  3. Step 3: Cross multiply
    21,714x = 44,580 × 44,580
  4. Step 4: Simplify right side
    21,714x = 1,987,376,400
  5. Step 5: Solve for x
    x = 1,987,376,400/21,714
  6. Step 6: Final answer
    x = 91,525.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.