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Finding the Third Proportional to 1,784 and 2,687

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Solution

The third proportional to 1,784 and 2,687 is: 4,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784 : 2,687 = 2,687 : x
  2. Step 2: Convert to fraction form
    1,784/2,687 = 2,687/x
  3. Step 3: Cross multiply
    1,784x = 2,687 × 2,687
  4. Step 4: Simplify right side
    1,784x = 7,219,969
  5. Step 5: Solve for x
    x = 7,219,969/1,784
  6. Step 6: Final answer
    x = 4,047.07

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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.