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Finding the Third Proportional to 31,132 and 46,588

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Solution

The third proportional to 31,132 and 46,588 is: 69,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,132 : 46,588 = 46,588 : x
  2. Step 2: Convert to fraction form
    31,132/46,588 = 46,588/x
  3. Step 3: Cross multiply
    31,132x = 46,588 × 46,588
  4. Step 4: Simplify right side
    31,132x = 2,170,441,744
  5. Step 5: Solve for x
    x = 2,170,441,744/31,132
  6. Step 6: Final answer
    x = 69,717.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.