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Finding the Third Proportional to 39,033 and 82,926

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Solution

The third proportional to 39,033 and 82,926 is: 176,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,033 : 82,926 = 82,926 : x
  2. Step 2: Convert to fraction form
    39,033/82,926 = 82,926/x
  3. Step 3: Cross multiply
    39,033x = 82,926 × 82,926
  4. Step 4: Simplify right side
    39,033x = 6,876,721,476
  5. Step 5: Solve for x
    x = 6,876,721,476/39,033
  6. Step 6: Final answer
    x = 176,177.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.