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Finding the Third Proportional to 24,462 and 35,997.75

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Solution

The third proportional to 24,462 and 35,997.75 is: 52,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462 : 35,997.75 = 35,997.75 : x
  2. Step 2: Convert to fraction form
    24,462/35,997.75 = 35,997.75/x
  3. Step 3: Cross multiply
    24,462x = 35,997.75 × 35,997.75
  4. Step 4: Simplify right side
    24,462x = 1,295,838,005.06
  5. Step 5: Solve for x
    x = 1,295,838,005.06/24,462
  6. Step 6: Final answer
    x = 52,973.51

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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.