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Finding the Third Proportional to 12,327.50 and 26,959

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Solution

The third proportional to 12,327.50 and 26,959 is: 58,956.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.50 : 26,959 = 26,959 : x
  2. Step 2: Convert to fraction form
    12,327.50/26,959 = 26,959/x
  3. Step 3: Cross multiply
    12,327.50x = 26,959 × 26,959
  4. Step 4: Simplify right side
    12,327.50x = 726,787,681
  5. Step 5: Solve for x
    x = 726,787,681/12,327.50
  6. Step 6: Final answer
    x = 58,956.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.