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Finding the Third Proportional to 7,640 and 12,212

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Solution

The third proportional to 7,640 and 12,212 is: 19,520.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640 : 12,212 = 12,212 : x
  2. Step 2: Convert to fraction form
    7,640/12,212 = 12,212/x
  3. Step 3: Cross multiply
    7,640x = 12,212 × 12,212
  4. Step 4: Simplify right side
    7,640x = 149,132,944
  5. Step 5: Solve for x
    x = 149,132,944/7,640
  6. Step 6: Final answer
    x = 19,520.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.