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Finding the Third Proportional to 1,309.92 and 2,841.96

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Solution

The third proportional to 1,309.92 and 2,841.96 is: 6,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.92 : 2,841.96 = 2,841.96 : x
  2. Step 2: Convert to fraction form
    1,309.92/2,841.96 = 2,841.96/x
  3. Step 3: Cross multiply
    1,309.92x = 2,841.96 × 2,841.96
  4. Step 4: Simplify right side
    1,309.92x = 8,076,741.97
  5. Step 5: Solve for x
    x = 8,076,741.97/1,309.92
  6. Step 6: Final answer
    x = 6,165.82

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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.