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Finding the Third Proportional to 1,947.75 and 4,209.75

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Solution

The third proportional to 1,947.75 and 4,209.75 is: 9,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.75 : 4,209.75 = 4,209.75 : x
  2. Step 2: Convert to fraction form
    1,947.75/4,209.75 = 4,209.75/x
  3. Step 3: Cross multiply
    1,947.75x = 4,209.75 × 4,209.75
  4. Step 4: Simplify right side
    1,947.75x = 17,721,995.06
  5. Step 5: Solve for x
    x = 17,721,995.06/1,947.75
  6. Step 6: Final answer
    x = 9,098.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.