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Finding the Third Proportional to 10,278 and 15,696

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Solution

The third proportional to 10,278 and 15,696 is: 23,970.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278 : 15,696 = 15,696 : x
  2. Step 2: Convert to fraction form
    10,278/15,696 = 15,696/x
  3. Step 3: Cross multiply
    10,278x = 15,696 × 15,696
  4. Step 4: Simplify right side
    10,278x = 246,364,416
  5. Step 5: Solve for x
    x = 246,364,416/10,278
  6. Step 6: Final answer
    x = 23,970.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.