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Finding the Third Proportional to 2,376.37 and 5,551.51

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Solution

The third proportional to 2,376.37 and 5,551.51 is: 12,969.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.37 : 5,551.51 = 5,551.51 : x
  2. Step 2: Convert to fraction form
    2,376.37/5,551.51 = 5,551.51/x
  3. Step 3: Cross multiply
    2,376.37x = 5,551.51 × 5,551.51
  4. Step 4: Simplify right side
    2,376.37x = 30,819,217.31
  5. Step 5: Solve for x
    x = 30,819,217.31/2,376.37
  6. Step 6: Final answer
    x = 12,969.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.