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Finding the Third Proportional to 24,536 and 53,366

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Solution

The third proportional to 24,536 and 53,366 is: 116,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,536 : 53,366 = 53,366 : x
  2. Step 2: Convert to fraction form
    24,536/53,366 = 53,366/x
  3. Step 3: Cross multiply
    24,536x = 53,366 × 53,366
  4. Step 4: Simplify right side
    24,536x = 2,847,929,956
  5. Step 5: Solve for x
    x = 2,847,929,956/24,536
  6. Step 6: Final answer
    x = 116,071.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.