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Finding the Third Proportional to 24,252.75 and 34,232.63

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Solution

The third proportional to 24,252.75 and 34,232.63 is: 48,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,252.75 : 34,232.63 = 34,232.63 : x
  2. Step 2: Convert to fraction form
    24,252.75/34,232.63 = 34,232.63/x
  3. Step 3: Cross multiply
    24,252.75x = 34,232.63 × 34,232.63
  4. Step 4: Simplify right side
    24,252.75x = 1,171,872,614.39
  5. Step 5: Solve for x
    x = 1,171,872,614.39/24,252.75
  6. Step 6: Final answer
    x = 48,319.16

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.