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Finding the Third Proportional to 10,196 and 15,105

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Solution

The third proportional to 10,196 and 15,105 is: 22,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196 : 15,105 = 15,105 : x
  2. Step 2: Convert to fraction form
    10,196/15,105 = 15,105/x
  3. Step 3: Cross multiply
    10,196x = 15,105 × 15,105
  4. Step 4: Simplify right side
    10,196x = 228,161,025
  5. Step 5: Solve for x
    x = 228,161,025/10,196
  6. Step 6: Final answer
    x = 22,377.50

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.