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Finding the Third Proportional to 41,191 and 64,702

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Solution

The third proportional to 41,191 and 64,702 is: 101,632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,191 : 64,702 = 64,702 : x
  2. Step 2: Convert to fraction form
    41,191/64,702 = 64,702/x
  3. Step 3: Cross multiply
    41,191x = 64,702 × 64,702
  4. Step 4: Simplify right side
    41,191x = 4,186,348,804
  5. Step 5: Solve for x
    x = 4,186,348,804/41,191
  6. Step 6: Final answer
    x = 101,632.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.