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Finding the Third Proportional to 6,056.44 and 12,948.19

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Solution

The third proportional to 6,056.44 and 12,948.19 is: 27,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,056.44 : 12,948.19 = 12,948.19 : x
  2. Step 2: Convert to fraction form
    6,056.44/12,948.19 = 12,948.19/x
  3. Step 3: Cross multiply
    6,056.44x = 12,948.19 × 12,948.19
  4. Step 4: Simplify right side
    6,056.44x = 167,655,559.54
  5. Step 5: Solve for x
    x = 167,655,559.54/6,056.44
  6. Step 6: Final answer
    x = 27,682.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.