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Finding the Third Proportional to 16,170 and 24,922

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Solution

The third proportional to 16,170 and 24,922 is: 38,411.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,170 : 24,922 = 24,922 : x
  2. Step 2: Convert to fraction form
    16,170/24,922 = 24,922/x
  3. Step 3: Cross multiply
    16,170x = 24,922 × 24,922
  4. Step 4: Simplify right side
    16,170x = 621,106,084
  5. Step 5: Solve for x
    x = 621,106,084/16,170
  6. Step 6: Final answer
    x = 38,411.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.