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Finding the Third Proportional to 52,665.75 and 79,665.75

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Solution

The third proportional to 52,665.75 and 79,665.75 is: 120,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,665.75 : 79,665.75 = 79,665.75 : x
  2. Step 2: Convert to fraction form
    52,665.75/79,665.75 = 79,665.75/x
  3. Step 3: Cross multiply
    52,665.75x = 79,665.75 × 79,665.75
  4. Step 4: Simplify right side
    52,665.75x = 6,346,631,723.06
  5. Step 5: Solve for x
    x = 6,346,631,723.06/52,665.75
  6. Step 6: Final answer
    x = 120,507.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.