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Finding the Third Proportional to 24,335 and 52,554

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Solution

The third proportional to 24,335 and 52,554 is: 113,495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,335 : 52,554 = 52,554 : x
  2. Step 2: Convert to fraction form
    24,335/52,554 = 52,554/x
  3. Step 3: Cross multiply
    24,335x = 52,554 × 52,554
  4. Step 4: Simplify right side
    24,335x = 2,761,922,916
  5. Step 5: Solve for x
    x = 2,761,922,916/24,335
  6. Step 6: Final answer
    x = 113,495.91

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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.