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Finding the Third Proportional to 41,754 and 64,659.75

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Solution

The third proportional to 41,754 and 64,659.75 is: 100,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,754 : 64,659.75 = 64,659.75 : x
  2. Step 2: Convert to fraction form
    41,754/64,659.75 = 64,659.75/x
  3. Step 3: Cross multiply
    41,754x = 64,659.75 × 64,659.75
  4. Step 4: Simplify right side
    41,754x = 4,180,883,270.06
  5. Step 5: Solve for x
    x = 4,180,883,270.06/41,754
  6. Step 6: Final answer
    x = 100,131.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.