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Finding the Third Proportional to 23,895 and 35,185.50

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Solution

The third proportional to 23,895 and 35,185.50 is: 51,810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,895 : 35,185.50 = 35,185.50 : x
  2. Step 2: Convert to fraction form
    23,895/35,185.50 = 35,185.50/x
  3. Step 3: Cross multiply
    23,895x = 35,185.50 × 35,185.50
  4. Step 4: Simplify right side
    23,895x = 1,238,019,410.25
  5. Step 5: Solve for x
    x = 1,238,019,410.25/23,895
  6. Step 6: Final answer
    x = 51,810.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.