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Finding the Third Proportional to 23,564.36 and 49,552.07

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Solution

The third proportional to 23,564.36 and 49,552.07 is: 104,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.36 : 49,552.07 = 49,552.07 : x
  2. Step 2: Convert to fraction form
    23,564.36/49,552.07 = 49,552.07/x
  3. Step 3: Cross multiply
    23,564.36x = 49,552.07 × 49,552.07
  4. Step 4: Simplify right side
    23,564.36x = 2,455,407,285.13
  5. Step 5: Solve for x
    x = 2,455,407,285.13/23,564.36
  6. Step 6: Final answer
    x = 104,200.06

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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.