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Finding the Third Proportional to 1,884.09 and 2,871.70

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Solution

The third proportional to 1,884.09 and 2,871.70 is: 4,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.09 : 2,871.70 = 2,871.70 : x
  2. Step 2: Convert to fraction form
    1,884.09/2,871.70 = 2,871.70/x
  3. Step 3: Cross multiply
    1,884.09x = 2,871.70 × 2,871.70
  4. Step 4: Simplify right side
    1,884.09x = 8,246,678.84
  5. Step 5: Solve for x
    x = 8,246,678.84/1,884.09
  6. Step 6: Final answer
    x = 4,377.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.