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Finding the Third Proportional to 46,969 and 72,812

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Solution

The third proportional to 46,969 and 72,812 is: 112,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,969 : 72,812 = 72,812 : x
  2. Step 2: Convert to fraction form
    46,969/72,812 = 72,812/x
  3. Step 3: Cross multiply
    46,969x = 72,812 × 72,812
  4. Step 4: Simplify right side
    46,969x = 5,301,587,344
  5. Step 5: Solve for x
    x = 5,301,587,344/46,969
  6. Step 6: Final answer
    x = 112,874.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.