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Finding the Third Proportional to 23,695.50 and 51,062.25

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Solution

The third proportional to 23,695.50 and 51,062.25 is: 110,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,695.50 : 51,062.25 = 51,062.25 : x
  2. Step 2: Convert to fraction form
    23,695.50/51,062.25 = 51,062.25/x
  3. Step 3: Cross multiply
    23,695.50x = 51,062.25 × 51,062.25
  4. Step 4: Simplify right side
    23,695.50x = 2,607,353,375.06
  5. Step 5: Solve for x
    x = 2,607,353,375.06/23,695.50
  6. Step 6: Final answer
    x = 110,035.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.