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Finding the Third Proportional to 23,422.50 and 31,668.75

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Solution

The third proportional to 23,422.50 and 31,668.75 is: 42,818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,422.50 : 31,668.75 = 31,668.75 : x
  2. Step 2: Convert to fraction form
    23,422.50/31,668.75 = 31,668.75/x
  3. Step 3: Cross multiply
    23,422.50x = 31,668.75 × 31,668.75
  4. Step 4: Simplify right side
    23,422.50x = 1,002,909,726.56
  5. Step 5: Solve for x
    x = 1,002,909,726.56/23,422.50
  6. Step 6: Final answer
    x = 42,818.22

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.