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Finding the Third Proportional to 24,080.50 and 31,952

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Solution

The third proportional to 24,080.50 and 31,952 is: 42,396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,080.50 : 31,952 = 31,952 : x
  2. Step 2: Convert to fraction form
    24,080.50/31,952 = 31,952/x
  3. Step 3: Cross multiply
    24,080.50x = 31,952 × 31,952
  4. Step 4: Simplify right side
    24,080.50x = 1,020,930,304
  5. Step 5: Solve for x
    x = 1,020,930,304/24,080.50
  6. Step 6: Final answer
    x = 42,396.56

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.