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Finding the Third Proportional to 24,777.56 and 35,321.06

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Solution

The third proportional to 24,777.56 and 35,321.06 is: 50,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,777.56 : 35,321.06 = 35,321.06 : x
  2. Step 2: Convert to fraction form
    24,777.56/35,321.06 = 35,321.06/x
  3. Step 3: Cross multiply
    24,777.56x = 35,321.06 × 35,321.06
  4. Step 4: Simplify right side
    24,777.56x = 1,247,577,456.13
  5. Step 5: Solve for x
    x = 1,247,577,456.13/24,777.56
  6. Step 6: Final answer
    x = 50,351.10

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.