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Finding the Third Proportional to 40,934 and 63,210

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Solution

The third proportional to 40,934 and 63,210 is: 97,608.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,934 : 63,210 = 63,210 : x
  2. Step 2: Convert to fraction form
    40,934/63,210 = 63,210/x
  3. Step 3: Cross multiply
    40,934x = 63,210 × 63,210
  4. Step 4: Simplify right side
    40,934x = 3,995,504,100
  5. Step 5: Solve for x
    x = 3,995,504,100/40,934
  6. Step 6: Final answer
    x = 97,608.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.