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Finding the Third Proportional to 10,366.73 and 22,212.98

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Solution

The third proportional to 10,366.73 and 22,212.98 is: 47,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.73 : 22,212.98 = 22,212.98 : x
  2. Step 2: Convert to fraction form
    10,366.73/22,212.98 = 22,212.98/x
  3. Step 3: Cross multiply
    10,366.73x = 22,212.98 × 22,212.98
  4. Step 4: Simplify right side
    10,366.73x = 493,416,674.84
  5. Step 5: Solve for x
    x = 493,416,674.84/10,366.73
  6. Step 6: Final answer
    x = 47,596.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.