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Finding the Third Proportional to 23,764 and 36,959

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Solution

The third proportional to 23,764 and 36,959 is: 57,480.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,764 : 36,959 = 36,959 : x
  2. Step 2: Convert to fraction form
    23,764/36,959 = 36,959/x
  3. Step 3: Cross multiply
    23,764x = 36,959 × 36,959
  4. Step 4: Simplify right side
    23,764x = 1,365,967,681
  5. Step 5: Solve for x
    x = 1,365,967,681/23,764
  6. Step 6: Final answer
    x = 57,480.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.