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Finding the Third Proportional to 7,692 and 18,152

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Solution

The third proportional to 7,692 and 18,152 is: 42,836.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692 : 18,152 = 18,152 : x
  2. Step 2: Convert to fraction form
    7,692/18,152 = 18,152/x
  3. Step 3: Cross multiply
    7,692x = 18,152 × 18,152
  4. Step 4: Simplify right side
    7,692x = 329,495,104
  5. Step 5: Solve for x
    x = 329,495,104/7,692
  6. Step 6: Final answer
    x = 42,836.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.