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Finding the Third Proportional to 24,440 and 52,336

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Solution

The third proportional to 24,440 and 52,336 is: 112,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,440 : 52,336 = 52,336 : x
  2. Step 2: Convert to fraction form
    24,440/52,336 = 52,336/x
  3. Step 3: Cross multiply
    24,440x = 52,336 × 52,336
  4. Step 4: Simplify right side
    24,440x = 2,739,056,896
  5. Step 5: Solve for x
    x = 2,739,056,896/24,440
  6. Step 6: Final answer
    x = 112,072.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.