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Finding the Third Proportional to 46,008 and 69,831

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Solution

The third proportional to 46,008 and 69,831 is: 105,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,008 : 69,831 = 69,831 : x
  2. Step 2: Convert to fraction form
    46,008/69,831 = 69,831/x
  3. Step 3: Cross multiply
    46,008x = 69,831 × 69,831
  4. Step 4: Simplify right side
    46,008x = 4,876,368,561
  5. Step 5: Solve for x
    x = 4,876,368,561/46,008
  6. Step 6: Final answer
    x = 105,989.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.