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Finding the Third Proportional to 41,950 and 64,810

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Solution

The third proportional to 41,950 and 64,810 is: 100,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,950 : 64,810 = 64,810 : x
  2. Step 2: Convert to fraction form
    41,950/64,810 = 64,810/x
  3. Step 3: Cross multiply
    41,950x = 64,810 × 64,810
  4. Step 4: Simplify right side
    41,950x = 4,200,336,100
  5. Step 5: Solve for x
    x = 4,200,336,100/41,950
  6. Step 6: Final answer
    x = 100,127.20

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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.