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Finding the Third Proportional to 21,938 and 47,378.50

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Solution

The third proportional to 21,938 and 47,378.50 is: 102,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,938 : 47,378.50 = 47,378.50 : x
  2. Step 2: Convert to fraction form
    21,938/47,378.50 = 47,378.50/x
  3. Step 3: Cross multiply
    21,938x = 47,378.50 × 47,378.50
  4. Step 4: Simplify right side
    21,938x = 2,244,722,262.25
  5. Step 5: Solve for x
    x = 2,244,722,262.25/21,938
  6. Step 6: Final answer
    x = 102,321.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.