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Finding the Third Proportional to 7,692 and 15,702

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Solution

The third proportional to 7,692 and 15,702 is: 32,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692 : 15,702 = 15,702 : x
  2. Step 2: Convert to fraction form
    7,692/15,702 = 15,702/x
  3. Step 3: Cross multiply
    7,692x = 15,702 × 15,702
  4. Step 4: Simplify right side
    7,692x = 246,552,804
  5. Step 5: Solve for x
    x = 246,552,804/7,692
  6. Step 6: Final answer
    x = 32,053.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.