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Finding the Third Proportional to 46,464 and 69,801

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Solution

The third proportional to 46,464 and 69,801 is: 104,859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,464 : 69,801 = 69,801 : x
  2. Step 2: Convert to fraction form
    46,464/69,801 = 69,801/x
  3. Step 3: Cross multiply
    46,464x = 69,801 × 69,801
  4. Step 4: Simplify right side
    46,464x = 4,872,179,601
  5. Step 5: Solve for x
    x = 4,872,179,601/46,464
  6. Step 6: Final answer
    x = 104,859.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.