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Finding the Third Proportional to 46,468.50 and 73,857

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Solution

The third proportional to 46,468.50 and 73,857 is: 117,388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,468.50 : 73,857 = 73,857 : x
  2. Step 2: Convert to fraction form
    46,468.50/73,857 = 73,857/x
  3. Step 3: Cross multiply
    46,468.50x = 73,857 × 73,857
  4. Step 4: Simplify right side
    46,468.50x = 5,454,856,449
  5. Step 5: Solve for x
    x = 5,454,856,449/46,468.50
  6. Step 6: Final answer
    x = 117,388.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.