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Finding the Third Proportional to 31,416 and 46,181

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Solution

The third proportional to 31,416 and 46,181 is: 67,885.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,416 : 46,181 = 46,181 : x
  2. Step 2: Convert to fraction form
    31,416/46,181 = 46,181/x
  3. Step 3: Cross multiply
    31,416x = 46,181 × 46,181
  4. Step 4: Simplify right side
    31,416x = 2,132,684,761
  5. Step 5: Solve for x
    x = 2,132,684,761/31,416
  6. Step 6: Final answer
    x = 67,885.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.