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Finding the Third Proportional to 5,947.80 and 12,920.45

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Solution

The third proportional to 5,947.80 and 12,920.45 is: 28,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.80 : 12,920.45 = 12,920.45 : x
  2. Step 2: Convert to fraction form
    5,947.80/12,920.45 = 12,920.45/x
  3. Step 3: Cross multiply
    5,947.80x = 12,920.45 × 12,920.45
  4. Step 4: Simplify right side
    5,947.80x = 166,938,008.01
  5. Step 5: Solve for x
    x = 166,938,008.01/5,947.80
  6. Step 6: Final answer
    x = 28,067.16

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.