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Finding the Third Proportional to 16,068 and 32,919

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Solution

The third proportional to 16,068 and 32,919 is: 67,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,068 : 32,919 = 32,919 : x
  2. Step 2: Convert to fraction form
    16,068/32,919 = 32,919/x
  3. Step 3: Cross multiply
    16,068x = 32,919 × 32,919
  4. Step 4: Simplify right side
    16,068x = 1,083,660,561
  5. Step 5: Solve for x
    x = 1,083,660,561/16,068
  6. Step 6: Final answer
    x = 67,442.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.