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Finding the Third Proportional to 21,751.88 and 31,986.56

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Solution

The third proportional to 21,751.88 and 31,986.56 is: 47,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,751.88 : 31,986.56 = 31,986.56 : x
  2. Step 2: Convert to fraction form
    21,751.88/31,986.56 = 31,986.56/x
  3. Step 3: Cross multiply
    21,751.88x = 31,986.56 × 31,986.56
  4. Step 4: Simplify right side
    21,751.88x = 1,023,140,180.57
  5. Step 5: Solve for x
    x = 1,023,140,180.57/21,751.88
  6. Step 6: Final answer
    x = 47,036.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.