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Finding the Third Proportional to 12,586 and 29,696

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Solution

The third proportional to 12,586 and 29,696 is: 70,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586 : 29,696 = 29,696 : x
  2. Step 2: Convert to fraction form
    12,586/29,696 = 29,696/x
  3. Step 3: Cross multiply
    12,586x = 29,696 × 29,696
  4. Step 4: Simplify right side
    12,586x = 881,852,416
  5. Step 5: Solve for x
    x = 881,852,416/12,586
  6. Step 6: Final answer
    x = 70,066.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.