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Finding the Third Proportional to 23,643.56 and 51,224.06

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Solution

The third proportional to 23,643.56 and 51,224.06 is: 110,977.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.56 : 51,224.06 = 51,224.06 : x
  2. Step 2: Convert to fraction form
    23,643.56/51,224.06 = 51,224.06/x
  3. Step 3: Cross multiply
    23,643.56x = 51,224.06 × 51,224.06
  4. Step 4: Simplify right side
    23,643.56x = 2,623,904,579.00
  5. Step 5: Solve for x
    x = 2,623,904,579.00/23,643.56
  6. Step 6: Final answer
    x = 110,977.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.