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Finding the Third Proportional to 1,438.07 and 3,191.51

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Solution

The third proportional to 1,438.07 and 3,191.51 is: 7,082.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.07 : 3,191.51 = 3,191.51 : x
  2. Step 2: Convert to fraction form
    1,438.07/3,191.51 = 3,191.51/x
  3. Step 3: Cross multiply
    1,438.07x = 3,191.51 × 3,191.51
  4. Step 4: Simplify right side
    1,438.07x = 10,185,740.82
  5. Step 5: Solve for x
    x = 10,185,740.82/1,438.07
  6. Step 6: Final answer
    x = 7,082.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.