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Finding the Third Proportional to 21,170.25 and 47,352.38

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Solution

The third proportional to 21,170.25 and 47,352.38 is: 105,915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,170.25 : 47,352.38 = 47,352.38 : x
  2. Step 2: Convert to fraction form
    21,170.25/47,352.38 = 47,352.38/x
  3. Step 3: Cross multiply
    21,170.25x = 47,352.38 × 47,352.38
  4. Step 4: Simplify right side
    21,170.25x = 2,242,247,418.14
  5. Step 5: Solve for x
    x = 2,242,247,418.14/21,170.25
  6. Step 6: Final answer
    x = 105,915.02

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.