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Finding the Third Proportional to 35,727.75 and 79,911

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Solution

The third proportional to 35,727.75 and 79,911 is: 178,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,727.75 : 79,911 = 79,911 : x
  2. Step 2: Convert to fraction form
    35,727.75/79,911 = 79,911/x
  3. Step 3: Cross multiply
    35,727.75x = 79,911 × 79,911
  4. Step 4: Simplify right side
    35,727.75x = 6,385,767,921
  5. Step 5: Solve for x
    x = 6,385,767,921/35,727.75
  6. Step 6: Final answer
    x = 178,734.12

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.