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Finding the Third Proportional to 24,410 and 53,296

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Solution

The third proportional to 24,410 and 53,296 is: 116,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,410 : 53,296 = 53,296 : x
  2. Step 2: Convert to fraction form
    24,410/53,296 = 53,296/x
  3. Step 3: Cross multiply
    24,410x = 53,296 × 53,296
  4. Step 4: Simplify right side
    24,410x = 2,840,463,616
  5. Step 5: Solve for x
    x = 2,840,463,616/24,410
  6. Step 6: Final answer
    x = 116,364.75

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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.