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Finding the Third Proportional to 22,124.50 and 47,771.50

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Solution

The third proportional to 22,124.50 and 47,771.50 is: 103,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,124.50 : 47,771.50 = 47,771.50 : x
  2. Step 2: Convert to fraction form
    22,124.50/47,771.50 = 47,771.50/x
  3. Step 3: Cross multiply
    22,124.50x = 47,771.50 × 47,771.50
  4. Step 4: Simplify right side
    22,124.50x = 2,282,116,212.25
  5. Step 5: Solve for x
    x = 2,282,116,212.25/22,124.50
  6. Step 6: Final answer
    x = 103,148.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.