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Finding the Third Proportional to 34,812 and 73,764

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Solution

The third proportional to 34,812 and 73,764 is: 156,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,812 : 73,764 = 73,764 : x
  2. Step 2: Convert to fraction form
    34,812/73,764 = 73,764/x
  3. Step 3: Cross multiply
    34,812x = 73,764 × 73,764
  4. Step 4: Simplify right side
    34,812x = 5,441,127,696
  5. Step 5: Solve for x
    x = 5,441,127,696/34,812
  6. Step 6: Final answer
    x = 156,300.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.