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Finding the Third Proportional to 24,496 and 52,878

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Solution

The third proportional to 24,496 and 52,878 is: 114,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,496 : 52,878 = 52,878 : x
  2. Step 2: Convert to fraction form
    24,496/52,878 = 52,878/x
  3. Step 3: Cross multiply
    24,496x = 52,878 × 52,878
  4. Step 4: Simplify right side
    24,496x = 2,796,082,884
  5. Step 5: Solve for x
    x = 2,796,082,884/24,496
  6. Step 6: Final answer
    x = 114,144.47

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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.