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Finding the Third Proportional to 29,078 and 46,118

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Solution

The third proportional to 29,078 and 46,118 is: 73,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,078 : 46,118 = 46,118 : x
  2. Step 2: Convert to fraction form
    29,078/46,118 = 46,118/x
  3. Step 3: Cross multiply
    29,078x = 46,118 × 46,118
  4. Step 4: Simplify right side
    29,078x = 2,126,869,924
  5. Step 5: Solve for x
    x = 2,126,869,924/29,078
  6. Step 6: Final answer
    x = 73,143.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.