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Finding the Third Proportional to 18,078 and 24,630

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Solution

The third proportional to 18,078 and 24,630 is: 33,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,078 : 24,630 = 24,630 : x
  2. Step 2: Convert to fraction form
    18,078/24,630 = 24,630/x
  3. Step 3: Cross multiply
    18,078x = 24,630 × 24,630
  4. Step 4: Simplify right side
    18,078x = 606,636,900
  5. Step 5: Solve for x
    x = 606,636,900/18,078
  6. Step 6: Final answer
    x = 33,556.64

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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.