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Finding the Third Proportional to 1,047.84 and 2,181.66

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Solution

The third proportional to 1,047.84 and 2,181.66 is: 4,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.84 : 2,181.66 = 2,181.66 : x
  2. Step 2: Convert to fraction form
    1,047.84/2,181.66 = 2,181.66/x
  3. Step 3: Cross multiply
    1,047.84x = 2,181.66 × 2,181.66
  4. Step 4: Simplify right side
    1,047.84x = 4,759,623.99
  5. Step 5: Solve for x
    x = 4,759,623.99/1,047.84
  6. Step 6: Final answer
    x = 4,542.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.