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Finding the Third Proportional to 10,400 and 22,823

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Solution

The third proportional to 10,400 and 22,823 is: 50,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400 : 22,823 = 22,823 : x
  2. Step 2: Convert to fraction form
    10,400/22,823 = 22,823/x
  3. Step 3: Cross multiply
    10,400x = 22,823 × 22,823
  4. Step 4: Simplify right side
    10,400x = 520,889,329
  5. Step 5: Solve for x
    x = 520,889,329/10,400
  6. Step 6: Final answer
    x = 50,085.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.