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Finding the Third Proportional to 21,961.13 and 24,026.63

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Solution

The third proportional to 21,961.13 and 24,026.63 is: 26,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,961.13 : 24,026.63 = 24,026.63 : x
  2. Step 2: Convert to fraction form
    21,961.13/24,026.63 = 24,026.63/x
  3. Step 3: Cross multiply
    21,961.13x = 24,026.63 × 24,026.63
  4. Step 4: Simplify right side
    21,961.13x = 577,278,708.89
  5. Step 5: Solve for x
    x = 577,278,708.89/21,961.13
  6. Step 6: Final answer
    x = 26,286.39

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.