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Finding the Third Proportional to 36,700.59 and 81,329.06

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Solution

The third proportional to 36,700.59 and 81,329.06 is: 180,226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,700.59 : 81,329.06 = 81,329.06 : x
  2. Step 2: Convert to fraction form
    36,700.59/81,329.06 = 81,329.06/x
  3. Step 3: Cross multiply
    36,700.59x = 81,329.06 × 81,329.06
  4. Step 4: Simplify right side
    36,700.59x = 6,614,416,407.13
  5. Step 5: Solve for x
    x = 6,614,416,407.13/36,700.59
  6. Step 6: Final answer
    x = 180,226.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.