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Finding the Third Proportional to 31,981.50 and 66,015

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Solution

The third proportional to 31,981.50 and 66,015 is: 136,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,981.50 : 66,015 = 66,015 : x
  2. Step 2: Convert to fraction form
    31,981.50/66,015 = 66,015/x
  3. Step 3: Cross multiply
    31,981.50x = 66,015 × 66,015
  4. Step 4: Simplify right side
    31,981.50x = 4,357,980,225
  5. Step 5: Solve for x
    x = 4,357,980,225/31,981.50
  6. Step 6: Final answer
    x = 136,265.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.