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Finding the Third Proportional to 15,782 and 33,948

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Solution

The third proportional to 15,782 and 33,948 is: 73,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782 : 33,948 = 33,948 : x
  2. Step 2: Convert to fraction form
    15,782/33,948 = 33,948/x
  3. Step 3: Cross multiply
    15,782x = 33,948 × 33,948
  4. Step 4: Simplify right side
    15,782x = 1,152,466,704
  5. Step 5: Solve for x
    x = 1,152,466,704/15,782
  6. Step 6: Final answer
    x = 73,024.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.