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Finding the Third Proportional to 24,620 and 53,696

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Solution

The third proportional to 24,620 and 53,696 is: 117,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,620 : 53,696 = 53,696 : x
  2. Step 2: Convert to fraction form
    24,620/53,696 = 53,696/x
  3. Step 3: Cross multiply
    24,620x = 53,696 × 53,696
  4. Step 4: Simplify right side
    24,620x = 2,883,260,416
  5. Step 5: Solve for x
    x = 2,883,260,416/24,620
  6. Step 6: Final answer
    x = 117,110.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.