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Finding the Third Proportional to 1,324.16 and 2,878.98

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Solution

The third proportional to 1,324.16 and 2,878.98 is: 6,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.16 : 2,878.98 = 2,878.98 : x
  2. Step 2: Convert to fraction form
    1,324.16/2,878.98 = 2,878.98/x
  3. Step 3: Cross multiply
    1,324.16x = 2,878.98 × 2,878.98
  4. Step 4: Simplify right side
    1,324.16x = 8,288,528.54
  5. Step 5: Solve for x
    x = 8,288,528.54/1,324.16
  6. Step 6: Final answer
    x = 6,259.46

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Why These Related Problems?

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