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Finding the Third Proportional to 18,291 and 24,844

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Solution

The third proportional to 18,291 and 24,844 is: 33,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,291 : 24,844 = 24,844 : x
  2. Step 2: Convert to fraction form
    18,291/24,844 = 24,844/x
  3. Step 3: Cross multiply
    18,291x = 24,844 × 24,844
  4. Step 4: Simplify right side
    18,291x = 617,224,336
  5. Step 5: Solve for x
    x = 617,224,336/18,291
  6. Step 6: Final answer
    x = 33,744.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.