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Finding the Third Proportional to 2,277.84 and 2,703.09

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Solution

The third proportional to 2,277.84 and 2,703.09 is: 3,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.84 : 2,703.09 = 2,703.09 : x
  2. Step 2: Convert to fraction form
    2,277.84/2,703.09 = 2,703.09/x
  3. Step 3: Cross multiply
    2,277.84x = 2,703.09 × 2,703.09
  4. Step 4: Simplify right side
    2,277.84x = 7,306,715.82
  5. Step 5: Solve for x
    x = 7,306,715.82/2,277.84
  6. Step 6: Final answer
    x = 3,207.73

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.