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Finding the Third Proportional to 935.16 and 1,214.30

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Solution

The third proportional to 935.16 and 1,214.30 is: 1,576.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.16 : 1,214.30 = 1,214.30 : x
  2. Step 2: Convert to fraction form
    935.16/1,214.30 = 1,214.30/x
  3. Step 3: Cross multiply
    935.16x = 1,214.30 × 1,214.30
  4. Step 4: Simplify right side
    935.16x = 1,474,516.90
  5. Step 5: Solve for x
    x = 1,474,516.90/935.16
  6. Step 6: Final answer
    x = 1,576.76

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.