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Finding the Third Proportional to 46,981.75 and 71,961

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Solution

The third proportional to 46,981.75 and 71,961 is: 110,221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,981.75 : 71,961 = 71,961 : x
  2. Step 2: Convert to fraction form
    46,981.75/71,961 = 71,961/x
  3. Step 3: Cross multiply
    46,981.75x = 71,961 × 71,961
  4. Step 4: Simplify right side
    46,981.75x = 5,178,385,521
  5. Step 5: Solve for x
    x = 5,178,385,521/46,981.75
  6. Step 6: Final answer
    x = 110,221.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.