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Finding the Third Proportional to 16,959 and 37,362

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Solution

The third proportional to 16,959 and 37,362 is: 82,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,959 : 37,362 = 37,362 : x
  2. Step 2: Convert to fraction form
    16,959/37,362 = 37,362/x
  3. Step 3: Cross multiply
    16,959x = 37,362 × 37,362
  4. Step 4: Simplify right side
    16,959x = 1,395,919,044
  5. Step 5: Solve for x
    x = 1,395,919,044/16,959
  6. Step 6: Final answer
    x = 82,311.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.