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Finding the Third Proportional to 46,670 and 73,006

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Solution

The third proportional to 46,670 and 73,006 is: 114,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,670 : 73,006 = 73,006 : x
  2. Step 2: Convert to fraction form
    46,670/73,006 = 73,006/x
  3. Step 3: Cross multiply
    46,670x = 73,006 × 73,006
  4. Step 4: Simplify right side
    46,670x = 5,329,876,036
  5. Step 5: Solve for x
    x = 5,329,876,036/46,670
  6. Step 6: Final answer
    x = 114,203.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.