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Finding the Third Proportional to 24,808 and 34,696

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Solution

The third proportional to 24,808 and 34,696 is: 48,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,808 : 34,696 = 34,696 : x
  2. Step 2: Convert to fraction form
    24,808/34,696 = 34,696/x
  3. Step 3: Cross multiply
    24,808x = 34,696 × 34,696
  4. Step 4: Simplify right side
    24,808x = 1,203,812,416
  5. Step 5: Solve for x
    x = 1,203,812,416/24,808
  6. Step 6: Final answer
    x = 48,525.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.