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Finding the Third Proportional to 21,881 and 30,963.50

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Solution

The third proportional to 21,881 and 30,963.50 is: 43,816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,881 : 30,963.50 = 30,963.50 : x
  2. Step 2: Convert to fraction form
    21,881/30,963.50 = 30,963.50/x
  3. Step 3: Cross multiply
    21,881x = 30,963.50 × 30,963.50
  4. Step 4: Simplify right side
    21,881x = 958,738,332.25
  5. Step 5: Solve for x
    x = 958,738,332.25/21,881
  6. Step 6: Final answer
    x = 43,816.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.