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Finding the Third Proportional to 24,536 and 52,848

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Solution

The third proportional to 24,536 and 52,848 is: 113,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,536 : 52,848 = 52,848 : x
  2. Step 2: Convert to fraction form
    24,536/52,848 = 52,848/x
  3. Step 3: Cross multiply
    24,536x = 52,848 × 52,848
  4. Step 4: Simplify right side
    24,536x = 2,792,911,104
  5. Step 5: Solve for x
    x = 2,792,911,104/24,536
  6. Step 6: Final answer
    x = 113,829.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.