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Finding the Third Proportional to 16,422.75 and 24,608.81

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Solution

The third proportional to 16,422.75 and 24,608.81 is: 36,875.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.75 : 24,608.81 = 24,608.81 : x
  2. Step 2: Convert to fraction form
    16,422.75/24,608.81 = 24,608.81/x
  3. Step 3: Cross multiply
    16,422.75x = 24,608.81 × 24,608.81
  4. Step 4: Simplify right side
    16,422.75x = 605,593,652.66
  5. Step 5: Solve for x
    x = 605,593,652.66/16,422.75
  6. Step 6: Final answer
    x = 36,875.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.