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Finding the Third Proportional to 12,324 and 22,104

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Solution

The third proportional to 12,324 and 22,104 is: 39,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324 : 22,104 = 22,104 : x
  2. Step 2: Convert to fraction form
    12,324/22,104 = 22,104/x
  3. Step 3: Cross multiply
    12,324x = 22,104 × 22,104
  4. Step 4: Simplify right side
    12,324x = 488,586,816
  5. Step 5: Solve for x
    x = 488,586,816/12,324
  6. Step 6: Final answer
    x = 39,645.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.