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Finding the Third Proportional to 31,197 and 66,810

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Solution

The third proportional to 31,197 and 66,810 is: 143,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,197 : 66,810 = 66,810 : x
  2. Step 2: Convert to fraction form
    31,197/66,810 = 66,810/x
  3. Step 3: Cross multiply
    31,197x = 66,810 × 66,810
  4. Step 4: Simplify right side
    31,197x = 4,463,576,100
  5. Step 5: Solve for x
    x = 4,463,576,100/31,197
  6. Step 6: Final answer
    x = 143,077.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.