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Finding the Third Proportional to 22,433 and 47,190.50

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Solution

The third proportional to 22,433 and 47,190.50 is: 99,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433 : 47,190.50 = 47,190.50 : x
  2. Step 2: Convert to fraction form
    22,433/47,190.50 = 47,190.50/x
  3. Step 3: Cross multiply
    22,433x = 47,190.50 × 47,190.50
  4. Step 4: Simplify right side
    22,433x = 2,226,943,290.25
  5. Step 5: Solve for x
    x = 2,226,943,290.25/22,433
  6. Step 6: Final answer
    x = 99,270.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.