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Finding the Third Proportional to 40,980 and 83,464

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Solution

The third proportional to 40,980 and 83,464 is: 169,991.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,980 : 83,464 = 83,464 : x
  2. Step 2: Convert to fraction form
    40,980/83,464 = 83,464/x
  3. Step 3: Cross multiply
    40,980x = 83,464 × 83,464
  4. Step 4: Simplify right side
    40,980x = 6,966,239,296
  5. Step 5: Solve for x
    x = 6,966,239,296/40,980
  6. Step 6: Final answer
    x = 169,991.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.