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Finding the Third Proportional to 16,104 and 24,062

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Solution

The third proportional to 16,104 and 24,062 is: 35,952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104 : 24,062 = 24,062 : x
  2. Step 2: Convert to fraction form
    16,104/24,062 = 24,062/x
  3. Step 3: Cross multiply
    16,104x = 24,062 × 24,062
  4. Step 4: Simplify right side
    16,104x = 578,979,844
  5. Step 5: Solve for x
    x = 578,979,844/16,104
  6. Step 6: Final answer
    x = 35,952.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.