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Finding the Third Proportional to 21,163.78 and 30,166.17

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Solution

The third proportional to 21,163.78 and 30,166.17 is: 42,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,163.78 : 30,166.17 = 30,166.17 : x
  2. Step 2: Convert to fraction form
    21,163.78/30,166.17 = 30,166.17/x
  3. Step 3: Cross multiply
    21,163.78x = 30,166.17 × 30,166.17
  4. Step 4: Simplify right side
    21,163.78x = 909,997,925.59
  5. Step 5: Solve for x
    x = 909,997,925.59/21,163.78
  6. Step 6: Final answer
    x = 42,997.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.