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Finding the Third Proportional to 10,096 and 15,102

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Solution

The third proportional to 10,096 and 15,102 is: 22,590.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096 : 15,102 = 15,102 : x
  2. Step 2: Convert to fraction form
    10,096/15,102 = 15,102/x
  3. Step 3: Cross multiply
    10,096x = 15,102 × 15,102
  4. Step 4: Simplify right side
    10,096x = 228,070,404
  5. Step 5: Solve for x
    x = 228,070,404/10,096
  6. Step 6: Final answer
    x = 22,590.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.