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Finding the Third Proportional to 24,219.32 and 35,372.16

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Solution

The third proportional to 24,219.32 and 35,372.16 is: 51,660.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,219.32 : 35,372.16 = 35,372.16 : x
  2. Step 2: Convert to fraction form
    24,219.32/35,372.16 = 35,372.16/x
  3. Step 3: Cross multiply
    24,219.32x = 35,372.16 × 35,372.16
  4. Step 4: Simplify right side
    24,219.32x = 1,251,189,852.29
  5. Step 5: Solve for x
    x = 1,251,189,852.29/24,219.32
  6. Step 6: Final answer
    x = 51,660.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.