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Finding the Third Proportional to 31,732 and 46,111

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Solution

The third proportional to 31,732 and 46,111 is: 67,005.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,732 : 46,111 = 46,111 : x
  2. Step 2: Convert to fraction form
    31,732/46,111 = 46,111/x
  3. Step 3: Cross multiply
    31,732x = 46,111 × 46,111
  4. Step 4: Simplify right side
    31,732x = 2,126,224,321
  5. Step 5: Solve for x
    x = 2,126,224,321/31,732
  6. Step 6: Final answer
    x = 67,005.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.