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Finding the Third Proportional to 29,086 and 46,132

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Solution

The third proportional to 29,086 and 46,132 is: 73,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,086 : 46,132 = 46,132 : x
  2. Step 2: Convert to fraction form
    29,086/46,132 = 46,132/x
  3. Step 3: Cross multiply
    29,086x = 46,132 × 46,132
  4. Step 4: Simplify right side
    29,086x = 2,128,161,424
  5. Step 5: Solve for x
    x = 2,128,161,424/29,086
  6. Step 6: Final answer
    x = 73,167.90

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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.