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Finding the Third Proportional to 37,959 and 83,037

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Solution

The third proportional to 37,959 and 83,037 is: 181,647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,959 : 83,037 = 83,037 : x
  2. Step 2: Convert to fraction form
    37,959/83,037 = 83,037/x
  3. Step 3: Cross multiply
    37,959x = 83,037 × 83,037
  4. Step 4: Simplify right side
    37,959x = 6,895,143,369
  5. Step 5: Solve for x
    x = 6,895,143,369/37,959
  6. Step 6: Final answer
    x = 181,647.13

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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.