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Finding the Third Proportional to 24,734 and 53,356

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Solution

The third proportional to 24,734 and 53,356 is: 115,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734 : 53,356 = 53,356 : x
  2. Step 2: Convert to fraction form
    24,734/53,356 = 53,356/x
  3. Step 3: Cross multiply
    24,734x = 53,356 × 53,356
  4. Step 4: Simplify right side
    24,734x = 2,846,862,736
  5. Step 5: Solve for x
    x = 2,846,862,736/24,734
  6. Step 6: Final answer
    x = 115,099.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.