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Finding the Third Proportional to 46,801 and 63,509

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Solution

The third proportional to 46,801 and 63,509 is: 86,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,801 : 63,509 = 63,509 : x
  2. Step 2: Convert to fraction form
    46,801/63,509 = 63,509/x
  3. Step 3: Cross multiply
    46,801x = 63,509 × 63,509
  4. Step 4: Simplify right side
    46,801x = 4,033,393,081
  5. Step 5: Solve for x
    x = 4,033,393,081/46,801
  6. Step 6: Final answer
    x = 86,181.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.