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Finding the Third Proportional to 1,700.86 and 2,719.97

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Solution

The third proportional to 1,700.86 and 2,719.97 is: 4,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.86 : 2,719.97 = 2,719.97 : x
  2. Step 2: Convert to fraction form
    1,700.86/2,719.97 = 2,719.97/x
  3. Step 3: Cross multiply
    1,700.86x = 2,719.97 × 2,719.97
  4. Step 4: Simplify right side
    1,700.86x = 7,398,230.00
  5. Step 5: Solve for x
    x = 7,398,230.00/1,700.86
  6. Step 6: Final answer
    x = 4,349.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.