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Finding the Third Proportional to 36,941.13 and 76,509.88

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Solution

The third proportional to 36,941.13 and 76,509.88 is: 158,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,941.13 : 76,509.88 = 76,509.88 : x
  2. Step 2: Convert to fraction form
    36,941.13/76,509.88 = 76,509.88/x
  3. Step 3: Cross multiply
    36,941.13x = 76,509.88 × 76,509.88
  4. Step 4: Simplify right side
    36,941.13x = 5,853,760,972.52
  5. Step 5: Solve for x
    x = 5,853,760,972.52/36,941.13
  6. Step 6: Final answer
    x = 158,461.90

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Why These Related Problems?

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