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Finding the Third Proportional to 46,712 and 67,147

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Solution

The third proportional to 46,712 and 67,147 is: 96,521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,712 : 67,147 = 67,147 : x
  2. Step 2: Convert to fraction form
    46,712/67,147 = 67,147/x
  3. Step 3: Cross multiply
    46,712x = 67,147 × 67,147
  4. Step 4: Simplify right side
    46,712x = 4,508,719,609
  5. Step 5: Solve for x
    x = 4,508,719,609/46,712
  6. Step 6: Final answer
    x = 96,521.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.