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Finding the Third Proportional to 2,170.13 and 2,968.31

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Solution

The third proportional to 2,170.13 and 2,968.31 is: 4,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.13 : 2,968.31 = 2,968.31 : x
  2. Step 2: Convert to fraction form
    2,170.13/2,968.31 = 2,968.31/x
  3. Step 3: Cross multiply
    2,170.13x = 2,968.31 × 2,968.31
  4. Step 4: Simplify right side
    2,170.13x = 8,810,879.10
  5. Step 5: Solve for x
    x = 8,810,879.10/2,170.13
  6. Step 6: Final answer
    x = 4,060.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.