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Finding the Third Proportional to 12,348 and 19,722

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Solution

The third proportional to 12,348 and 19,722 is: 31,499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348 : 19,722 = 19,722 : x
  2. Step 2: Convert to fraction form
    12,348/19,722 = 19,722/x
  3. Step 3: Cross multiply
    12,348x = 19,722 × 19,722
  4. Step 4: Simplify right side
    12,348x = 388,957,284
  5. Step 5: Solve for x
    x = 388,957,284/12,348
  6. Step 6: Final answer
    x = 31,499.62

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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.