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Finding the Third Proportional to 1,700 and 3,118

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Solution

The third proportional to 1,700 and 3,118 is: 5,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700 : 3,118 = 3,118 : x
  2. Step 2: Convert to fraction form
    1,700/3,118 = 3,118/x
  3. Step 3: Cross multiply
    1,700x = 3,118 × 3,118
  4. Step 4: Simplify right side
    1,700x = 9,721,924
  5. Step 5: Solve for x
    x = 9,721,924/1,700
  6. Step 6: Final answer
    x = 5,718.78

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.