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Finding the Third Proportional to 2,113.31 and 2,804.34

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Solution

The third proportional to 2,113.31 and 2,804.34 is: 3,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.31 : 2,804.34 = 2,804.34 : x
  2. Step 2: Convert to fraction form
    2,113.31/2,804.34 = 2,804.34/x
  3. Step 3: Cross multiply
    2,113.31x = 2,804.34 × 2,804.34
  4. Step 4: Simplify right side
    2,113.31x = 7,864,343.87
  5. Step 5: Solve for x
    x = 7,864,343.87/2,113.31
  6. Step 6: Final answer
    x = 3,721.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.