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Finding the Third Proportional to 1,341 and 2,968.88

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Solution

The third proportional to 1,341 and 2,968.88 is: 6,572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341 : 2,968.88 = 2,968.88 : x
  2. Step 2: Convert to fraction form
    1,341/2,968.88 = 2,968.88/x
  3. Step 3: Cross multiply
    1,341x = 2,968.88 × 2,968.88
  4. Step 4: Simplify right side
    1,341x = 8,814,218.77
  5. Step 5: Solve for x
    x = 8,814,218.77/1,341
  6. Step 6: Final answer
    x = 6,572.87

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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.