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Finding the Third Proportional to 15,196 and 31,144

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Solution

The third proportional to 15,196 and 31,144 is: 63,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196 : 31,144 = 31,144 : x
  2. Step 2: Convert to fraction form
    15,196/31,144 = 31,144/x
  3. Step 3: Cross multiply
    15,196x = 31,144 × 31,144
  4. Step 4: Simplify right side
    15,196x = 969,948,736
  5. Step 5: Solve for x
    x = 969,948,736/15,196
  6. Step 6: Final answer
    x = 63,829.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.