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Finding the Third Proportional to 21,977.25 and 47,376.75

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Solution

The third proportional to 21,977.25 and 47,376.75 is: 102,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,977.25 : 47,376.75 = 47,376.75 : x
  2. Step 2: Convert to fraction form
    21,977.25/47,376.75 = 47,376.75/x
  3. Step 3: Cross multiply
    21,977.25x = 47,376.75 × 47,376.75
  4. Step 4: Simplify right side
    21,977.25x = 2,244,556,440.56
  5. Step 5: Solve for x
    x = 2,244,556,440.56/21,977.25
  6. Step 6: Final answer
    x = 102,130.91

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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.