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Finding the Third Proportional to 1,947.80 and 4,203.14

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Solution

The third proportional to 1,947.80 and 4,203.14 is: 9,069.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.80 : 4,203.14 = 4,203.14 : x
  2. Step 2: Convert to fraction form
    1,947.80/4,203.14 = 4,203.14/x
  3. Step 3: Cross multiply
    1,947.80x = 4,203.14 × 4,203.14
  4. Step 4: Simplify right side
    1,947.80x = 17,666,391.11
  5. Step 5: Solve for x
    x = 17,666,391.11/1,947.80
  6. Step 6: Final answer
    x = 9,069.94

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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.