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Finding the Third Proportional to 2,703.49 and 5,811.35

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Solution

The third proportional to 2,703.49 and 5,811.35 is: 12,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.49 : 5,811.35 = 5,811.35 : x
  2. Step 2: Convert to fraction form
    2,703.49/5,811.35 = 5,811.35/x
  3. Step 3: Cross multiply
    2,703.49x = 5,811.35 × 5,811.35
  4. Step 4: Simplify right side
    2,703.49x = 33,771,841.03
  5. Step 5: Solve for x
    x = 33,771,841.03/2,703.49
  6. Step 6: Final answer
    x = 12,491.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.