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Finding the Third Proportional to 21,191.25 and 31,026.75

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Solution

The third proportional to 21,191.25 and 31,026.75 is: 45,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191.25 : 31,026.75 = 31,026.75 : x
  2. Step 2: Convert to fraction form
    21,191.25/31,026.75 = 31,026.75/x
  3. Step 3: Cross multiply
    21,191.25x = 31,026.75 × 31,026.75
  4. Step 4: Simplify right side
    21,191.25x = 962,659,215.56
  5. Step 5: Solve for x
    x = 962,659,215.56/21,191.25
  6. Step 6: Final answer
    x = 45,427.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.