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Finding the Third Proportional to 1,438.07 and 2,381.35

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Solution

The third proportional to 1,438.07 and 2,381.35 is: 3,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.07 : 2,381.35 = 2,381.35 : x
  2. Step 2: Convert to fraction form
    1,438.07/2,381.35 = 2,381.35/x
  3. Step 3: Cross multiply
    1,438.07x = 2,381.35 × 2,381.35
  4. Step 4: Simplify right side
    1,438.07x = 5,670,839.92
  5. Step 5: Solve for x
    x = 5,670,839.92/1,438.07
  6. Step 6: Final answer
    x = 3,943.38

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.