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Finding the Third Proportional to 11,137.50 and 22,981.22

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Solution

The third proportional to 11,137.50 and 22,981.22 is: 47,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.50 : 22,981.22 = 22,981.22 : x
  2. Step 2: Convert to fraction form
    11,137.50/22,981.22 = 22,981.22/x
  3. Step 3: Cross multiply
    11,137.50x = 22,981.22 × 22,981.22
  4. Step 4: Simplify right side
    11,137.50x = 528,136,415.24
  5. Step 5: Solve for x
    x = 528,136,415.24/11,137.50
  6. Step 6: Final answer
    x = 47,419.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.