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Finding the Third Proportional to 938.67 and 1,429.10

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Solution

The third proportional to 938.67 and 1,429.10 is: 2,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.67 : 1,429.10 = 1,429.10 : x
  2. Step 2: Convert to fraction form
    938.67/1,429.10 = 1,429.10/x
  3. Step 3: Cross multiply
    938.67x = 1,429.10 × 1,429.10
  4. Step 4: Simplify right side
    938.67x = 2,042,331.28
  5. Step 5: Solve for x
    x = 2,042,331.28/938.67
  6. Step 6: Final answer
    x = 2,175.77

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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.