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Finding the Third Proportional to 36,899.06 and 76,423.88

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Solution

The third proportional to 36,899.06 and 76,423.88 is: 158,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,899.06 : 76,423.88 = 76,423.88 : x
  2. Step 2: Convert to fraction form
    36,899.06/76,423.88 = 76,423.88/x
  3. Step 3: Cross multiply
    36,899.06x = 76,423.88 × 76,423.88
  4. Step 4: Simplify right side
    36,899.06x = 5,840,608,670.02
  5. Step 5: Solve for x
    x = 5,840,608,670.02/36,899.06
  6. Step 6: Final answer
    x = 158,286.10

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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.