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Finding the Third Proportional to 15,996.75 and 34,905

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Solution

The third proportional to 15,996.75 and 34,905 is: 76,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,996.75 : 34,905 = 34,905 : x
  2. Step 2: Convert to fraction form
    15,996.75/34,905 = 34,905/x
  3. Step 3: Cross multiply
    15,996.75x = 34,905 × 34,905
  4. Step 4: Simplify right side
    15,996.75x = 1,218,359,025
  5. Step 5: Solve for x
    x = 1,218,359,025/15,996.75
  6. Step 6: Final answer
    x = 76,162.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.