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Finding the Third Proportional to 31,167 and 57,002

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Solution

The third proportional to 31,167 and 57,002 is: 104,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,167 : 57,002 = 57,002 : x
  2. Step 2: Convert to fraction form
    31,167/57,002 = 57,002/x
  3. Step 3: Cross multiply
    31,167x = 57,002 × 57,002
  4. Step 4: Simplify right side
    31,167x = 3,249,228,004
  5. Step 5: Solve for x
    x = 3,249,228,004/31,167
  6. Step 6: Final answer
    x = 104,252.19

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.