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Finding the Third Proportional to 2,954.44 and 6,060.56

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Solution

The third proportional to 2,954.44 and 6,060.56 is: 12,432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.44 : 6,060.56 = 6,060.56 : x
  2. Step 2: Convert to fraction form
    2,954.44/6,060.56 = 6,060.56/x
  3. Step 3: Cross multiply
    2,954.44x = 6,060.56 × 6,060.56
  4. Step 4: Simplify right side
    2,954.44x = 36,730,417.82
  5. Step 5: Solve for x
    x = 36,730,417.82/2,954.44
  6. Step 6: Final answer
    x = 12,432.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.