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Finding the Third Proportional to 16,535 and 24,189

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Solution

The third proportional to 16,535 and 24,189 is: 35,386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535 : 24,189 = 24,189 : x
  2. Step 2: Convert to fraction form
    16,535/24,189 = 24,189/x
  3. Step 3: Cross multiply
    16,535x = 24,189 × 24,189
  4. Step 4: Simplify right side
    16,535x = 585,107,721
  5. Step 5: Solve for x
    x = 585,107,721/16,535
  6. Step 6: Final answer
    x = 35,386.01

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Why These Related Problems?

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