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Finding the Third Proportional to 2,113.59 and 4,361.34

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Solution

The third proportional to 2,113.59 and 4,361.34 is: 8,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.59 : 4,361.34 = 4,361.34 : x
  2. Step 2: Convert to fraction form
    2,113.59/4,361.34 = 4,361.34/x
  3. Step 3: Cross multiply
    2,113.59x = 4,361.34 × 4,361.34
  4. Step 4: Simplify right side
    2,113.59x = 19,021,319.31
  5. Step 5: Solve for x
    x = 19,021,319.31/2,113.59
  6. Step 6: Final answer
    x = 8,999.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.