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Finding the Third Proportional to 48,533 and 74,336

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Solution

The third proportional to 48,533 and 74,336 is: 113,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,533 : 74,336 = 74,336 : x
  2. Step 2: Convert to fraction form
    48,533/74,336 = 74,336/x
  3. Step 3: Cross multiply
    48,533x = 74,336 × 74,336
  4. Step 4: Simplify right side
    48,533x = 5,525,840,896
  5. Step 5: Solve for x
    x = 5,525,840,896/48,533
  6. Step 6: Final answer
    x = 113,857.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.