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Finding the Third Proportional to 21,844.78 and 47,778.09

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Solution

The third proportional to 21,844.78 and 47,778.09 is: 104,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,844.78 : 47,778.09 = 47,778.09 : x
  2. Step 2: Convert to fraction form
    21,844.78/47,778.09 = 47,778.09/x
  3. Step 3: Cross multiply
    21,844.78x = 47,778.09 × 47,778.09
  4. Step 4: Simplify right side
    21,844.78x = 2,282,746,242.38
  5. Step 5: Solve for x
    x = 2,282,746,242.38/21,844.78
  6. Step 6: Final answer
    x = 104,498.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.