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Finding the Third Proportional to 10,156 and 15,196

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Solution

The third proportional to 10,156 and 15,196 is: 22,737.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156 : 15,196 = 15,196 : x
  2. Step 2: Convert to fraction form
    10,156/15,196 = 15,196/x
  3. Step 3: Cross multiply
    10,156x = 15,196 × 15,196
  4. Step 4: Simplify right side
    10,156x = 230,918,416
  5. Step 5: Solve for x
    x = 230,918,416/10,156
  6. Step 6: Final answer
    x = 22,737.14

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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.