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Finding the Third Proportional to 7,652 and 12,222

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Solution

The third proportional to 7,652 and 12,222 is: 19,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652 : 12,222 = 12,222 : x
  2. Step 2: Convert to fraction form
    7,652/12,222 = 12,222/x
  3. Step 3: Cross multiply
    7,652x = 12,222 × 12,222
  4. Step 4: Simplify right side
    7,652x = 149,377,284
  5. Step 5: Solve for x
    x = 149,377,284/7,652
  6. Step 6: Final answer
    x = 19,521.34

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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.