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Finding the Third Proportional to 41,255 and 64,347

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Solution

The third proportional to 41,255 and 64,347 is: 100,364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,255 : 64,347 = 64,347 : x
  2. Step 2: Convert to fraction form
    41,255/64,347 = 64,347/x
  3. Step 3: Cross multiply
    41,255x = 64,347 × 64,347
  4. Step 4: Simplify right side
    41,255x = 4,140,536,409
  5. Step 5: Solve for x
    x = 4,140,536,409/41,255
  6. Step 6: Final answer
    x = 100,364.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.