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Finding the Third Proportional to 7,692 and 12,348

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Solution

The third proportional to 7,692 and 12,348 is: 19,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692 : 12,348 = 12,348 : x
  2. Step 2: Convert to fraction form
    7,692/12,348 = 12,348/x
  3. Step 3: Cross multiply
    7,692x = 12,348 × 12,348
  4. Step 4: Simplify right side
    7,692x = 152,473,104
  5. Step 5: Solve for x
    x = 152,473,104/7,692
  6. Step 6: Final answer
    x = 19,822.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.