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Finding the Third Proportional to 21,649.78 and 26,373.09

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Solution

The third proportional to 21,649.78 and 26,373.09 is: 32,126.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.78 : 26,373.09 = 26,373.09 : x
  2. Step 2: Convert to fraction form
    21,649.78/26,373.09 = 26,373.09/x
  3. Step 3: Cross multiply
    21,649.78x = 26,373.09 × 26,373.09
  4. Step 4: Simplify right side
    21,649.78x = 695,540,073.95
  5. Step 5: Solve for x
    x = 695,540,073.95/21,649.78
  6. Step 6: Final answer
    x = 32,126.89

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.