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Finding the Third Proportional to 39,810 and 83,940

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Solution

The third proportional to 39,810 and 83,940 is: 176,988.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,810 : 83,940 = 83,940 : x
  2. Step 2: Convert to fraction form
    39,810/83,940 = 83,940/x
  3. Step 3: Cross multiply
    39,810x = 83,940 × 83,940
  4. Step 4: Simplify right side
    39,810x = 7,045,923,600
  5. Step 5: Solve for x
    x = 7,045,923,600/39,810
  6. Step 6: Final answer
    x = 176,988.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.