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Finding the Third Proportional to 10,522.41 and 22,252.22

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Solution

The third proportional to 10,522.41 and 22,252.22 is: 47,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.41 : 22,252.22 = 22,252.22 : x
  2. Step 2: Convert to fraction form
    10,522.41/22,252.22 = 22,252.22/x
  3. Step 3: Cross multiply
    10,522.41x = 22,252.22 × 22,252.22
  4. Step 4: Simplify right side
    10,522.41x = 495,161,239.30
  5. Step 5: Solve for x
    x = 495,161,239.30/10,522.41
  6. Step 6: Final answer
    x = 47,057.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.