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Finding the Third Proportional to 947.81 and 1,438.88

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Solution

The third proportional to 947.81 and 1,438.88 is: 2,184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.81 : 1,438.88 = 1,438.88 : x
  2. Step 2: Convert to fraction form
    947.81/1,438.88 = 1,438.88/x
  3. Step 3: Cross multiply
    947.81x = 1,438.88 × 1,438.88
  4. Step 4: Simplify right side
    947.81x = 2,070,361.27
  5. Step 5: Solve for x
    x = 2,070,361.27/947.81
  6. Step 6: Final answer
    x = 2,184.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.