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Finding the Third Proportional to 23,306.25 and 34,959

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Solution

The third proportional to 23,306.25 and 34,959 is: 52,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,306.25 : 34,959 = 34,959 : x
  2. Step 2: Convert to fraction form
    23,306.25/34,959 = 34,959/x
  3. Step 3: Cross multiply
    23,306.25x = 34,959 × 34,959
  4. Step 4: Simplify right side
    23,306.25x = 1,222,131,681
  5. Step 5: Solve for x
    x = 1,222,131,681/23,306.25
  6. Step 6: Final answer
    x = 52,437.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.