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Finding the Third Proportional to 10,262.16 and 22,107.41

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Solution

The third proportional to 10,262.16 and 22,107.41 is: 47,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.16 : 22,107.41 = 22,107.41 : x
  2. Step 2: Convert to fraction form
    10,262.16/22,107.41 = 22,107.41/x
  3. Step 3: Cross multiply
    10,262.16x = 22,107.41 × 22,107.41
  4. Step 4: Simplify right side
    10,262.16x = 488,737,411.10
  5. Step 5: Solve for x
    x = 488,737,411.10/10,262.16
  6. Step 6: Final answer
    x = 47,625.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.