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Finding the Third Proportional to 1,047.94 and 2,179.13

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Solution

The third proportional to 1,047.94 and 2,179.13 is: 4,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.94 : 2,179.13 = 2,179.13 : x
  2. Step 2: Convert to fraction form
    1,047.94/2,179.13 = 2,179.13/x
  3. Step 3: Cross multiply
    1,047.94x = 2,179.13 × 2,179.13
  4. Step 4: Simplify right side
    1,047.94x = 4,748,585.77
  5. Step 5: Solve for x
    x = 4,748,585.77/1,047.94
  6. Step 6: Final answer
    x = 4,531.36

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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.