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Finding the Third Proportional to 15,696 and 21,054

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Solution

The third proportional to 15,696 and 21,054 is: 28,241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696 : 21,054 = 21,054 : x
  2. Step 2: Convert to fraction form
    15,696/21,054 = 21,054/x
  3. Step 3: Cross multiply
    15,696x = 21,054 × 21,054
  4. Step 4: Simplify right side
    15,696x = 443,270,916
  5. Step 5: Solve for x
    x = 443,270,916/15,696
  6. Step 6: Final answer
    x = 28,241.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.