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Finding the Third Proportional to 31,324 and 66,860

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Solution

The third proportional to 31,324 and 66,860 is: 142,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,324 : 66,860 = 66,860 : x
  2. Step 2: Convert to fraction form
    31,324/66,860 = 66,860/x
  3. Step 3: Cross multiply
    31,324x = 66,860 × 66,860
  4. Step 4: Simplify right side
    31,324x = 4,470,259,600
  5. Step 5: Solve for x
    x = 4,470,259,600/31,324
  6. Step 6: Final answer
    x = 142,710.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.