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Finding the Third Proportional to 22,119.75 and 47,766.38

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Solution

The third proportional to 22,119.75 and 47,766.38 is: 103,148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,119.75 : 47,766.38 = 47,766.38 : x
  2. Step 2: Convert to fraction form
    22,119.75/47,766.38 = 47,766.38/x
  3. Step 3: Cross multiply
    22,119.75x = 47,766.38 × 47,766.38
  4. Step 4: Simplify right side
    22,119.75x = 2,281,626,580.64
  5. Step 5: Solve for x
    x = 2,281,626,580.64/22,119.75
  6. Step 6: Final answer
    x = 103,148.84

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Why These Related Problems?

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