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Finding the Third Proportional to 9,392.25 and 22,211.63

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Solution

The third proportional to 9,392.25 and 22,211.63 is: 52,528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.25 : 22,211.63 = 22,211.63 : x
  2. Step 2: Convert to fraction form
    9,392.25/22,211.63 = 22,211.63/x
  3. Step 3: Cross multiply
    9,392.25x = 22,211.63 × 22,211.63
  4. Step 4: Simplify right side
    9,392.25x = 493,356,285.14
  5. Step 5: Solve for x
    x = 493,356,285.14/9,392.25
  6. Step 6: Final answer
    x = 52,528.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.