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Finding the Third Proportional to 40,964 and 83,640

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Solution

The third proportional to 40,964 and 83,640 is: 170,775.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,964 : 83,640 = 83,640 : x
  2. Step 2: Convert to fraction form
    40,964/83,640 = 83,640/x
  3. Step 3: Cross multiply
    40,964x = 83,640 × 83,640
  4. Step 4: Simplify right side
    40,964x = 6,995,649,600
  5. Step 5: Solve for x
    x = 6,995,649,600/40,964
  6. Step 6: Final answer
    x = 170,775.55

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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.