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Finding the Third Proportional to 2,884.13 and 3,685.31

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Solution

The third proportional to 2,884.13 and 3,685.31 is: 4,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.13 : 3,685.31 = 3,685.31 : x
  2. Step 2: Convert to fraction form
    2,884.13/3,685.31 = 3,685.31/x
  3. Step 3: Cross multiply
    2,884.13x = 3,685.31 × 3,685.31
  4. Step 4: Simplify right side
    2,884.13x = 13,581,528.22
  5. Step 5: Solve for x
    x = 13,581,528.22/2,884.13
  6. Step 6: Final answer
    x = 4,709.06

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.