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Finding the Third Proportional to 36,952.38 and 80,805.63

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Solution

The third proportional to 36,952.38 and 80,805.63 is: 176,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,952.38 : 80,805.63 = 80,805.63 : x
  2. Step 2: Convert to fraction form
    36,952.38/80,805.63 = 80,805.63/x
  3. Step 3: Cross multiply
    36,952.38x = 80,805.63 × 80,805.63
  4. Step 4: Simplify right side
    36,952.38x = 6,529,549,031.64
  5. Step 5: Solve for x
    x = 6,529,549,031.64/36,952.38
  6. Step 6: Final answer
    x = 176,701.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.