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Finding the Third Proportional to 22,504.50 and 47,137.50

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Solution

The third proportional to 22,504.50 and 47,137.50 is: 98,733.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,504.50 : 47,137.50 = 47,137.50 : x
  2. Step 2: Convert to fraction form
    22,504.50/47,137.50 = 47,137.50/x
  3. Step 3: Cross multiply
    22,504.50x = 47,137.50 × 47,137.50
  4. Step 4: Simplify right side
    22,504.50x = 2,221,943,906.25
  5. Step 5: Solve for x
    x = 2,221,943,906.25/22,504.50
  6. Step 6: Final answer
    x = 98,733.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.