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Finding the Third Proportional to 23,566.78 and 49,557.23

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Solution

The third proportional to 23,566.78 and 49,557.23 is: 104,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,566.78 : 49,557.23 = 49,557.23 : x
  2. Step 2: Convert to fraction form
    23,566.78/49,557.23 = 49,557.23/x
  3. Step 3: Cross multiply
    23,566.78x = 49,557.23 × 49,557.23
  4. Step 4: Simplify right side
    23,566.78x = 2,455,919,478.90
  5. Step 5: Solve for x
    x = 2,455,919,478.90/23,566.78
  6. Step 6: Final answer
    x = 104,211.07

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