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Finding the Third Proportional to 10,416 and 23,704

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Solution

The third proportional to 10,416 and 23,704 is: 53,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416 : 23,704 = 23,704 : x
  2. Step 2: Convert to fraction form
    10,416/23,704 = 23,704/x
  3. Step 3: Cross multiply
    10,416x = 23,704 × 23,704
  4. Step 4: Simplify right side
    10,416x = 561,879,616
  5. Step 5: Solve for x
    x = 561,879,616/10,416
  6. Step 6: Final answer
    x = 53,943.90

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.