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Finding the Third Proportional to 36,381.66 and 79,688.81

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Solution

The third proportional to 36,381.66 and 79,688.81 is: 174,546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,381.66 : 79,688.81 = 79,688.81 : x
  2. Step 2: Convert to fraction form
    36,381.66/79,688.81 = 79,688.81/x
  3. Step 3: Cross multiply
    36,381.66x = 79,688.81 × 79,688.81
  4. Step 4: Simplify right side
    36,381.66x = 6,350,306,837.66
  5. Step 5: Solve for x
    x = 6,350,306,837.66/36,381.66
  6. Step 6: Final answer
    x = 174,546.94

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Why These Related Problems?

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