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Finding the Third Proportional to 36,941.25 and 76,510.13

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Solution

The third proportional to 36,941.25 and 76,510.13 is: 158,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,941.25 : 76,510.13 = 76,510.13 : x
  2. Step 2: Convert to fraction form
    36,941.25/76,510.13 = 76,510.13/x
  3. Step 3: Cross multiply
    36,941.25x = 76,510.13 × 76,510.13
  4. Step 4: Simplify right side
    36,941.25x = 5,853,799,227.52
  5. Step 5: Solve for x
    x = 5,853,799,227.52/36,941.25
  6. Step 6: Final answer
    x = 158,462.40

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.