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Finding the Third Proportional to 1,678.69 and 2,593.88

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Solution

The third proportional to 1,678.69 and 2,593.88 is: 4,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.69 : 2,593.88 = 2,593.88 : x
  2. Step 2: Convert to fraction form
    1,678.69/2,593.88 = 2,593.88/x
  3. Step 3: Cross multiply
    1,678.69x = 2,593.88 × 2,593.88
  4. Step 4: Simplify right side
    1,678.69x = 6,728,187.52
  5. Step 5: Solve for x
    x = 6,728,187.52/1,678.69
  6. Step 6: Final answer
    x = 4,008.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.