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Finding the Third Proportional to 46,006 and 73,396

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Solution

The third proportional to 46,006 and 73,396 is: 117,092.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,006 : 73,396 = 73,396 : x
  2. Step 2: Convert to fraction form
    46,006/73,396 = 73,396/x
  3. Step 3: Cross multiply
    46,006x = 73,396 × 73,396
  4. Step 4: Simplify right side
    46,006x = 5,386,972,816
  5. Step 5: Solve for x
    x = 5,386,972,816/46,006
  6. Step 6: Final answer
    x = 117,092.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.