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Finding the Third Proportional to 1,947.88 and 4,305.81

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Solution

The third proportional to 1,947.88 and 4,305.81 is: 9,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.88 : 4,305.81 = 4,305.81 : x
  2. Step 2: Convert to fraction form
    1,947.88/4,305.81 = 4,305.81/x
  3. Step 3: Cross multiply
    1,947.88x = 4,305.81 × 4,305.81
  4. Step 4: Simplify right side
    1,947.88x = 18,540,038.10
  5. Step 5: Solve for x
    x = 18,540,038.10/1,947.88
  6. Step 6: Final answer
    x = 9,518.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.