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Finding the Third Proportional to 31,434.75 and 66,501

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Solution

The third proportional to 31,434.75 and 66,501 is: 140,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,434.75 : 66,501 = 66,501 : x
  2. Step 2: Convert to fraction form
    31,434.75/66,501 = 66,501/x
  3. Step 3: Cross multiply
    31,434.75x = 66,501 × 66,501
  4. Step 4: Simplify right side
    31,434.75x = 4,422,383,001
  5. Step 5: Solve for x
    x = 4,422,383,001/31,434.75
  6. Step 6: Final answer
    x = 140,684.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.