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Finding the Third Proportional to 51,765 and 70,722

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Solution

The third proportional to 51,765 and 70,722 is: 96,621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,765 : 70,722 = 70,722 : x
  2. Step 2: Convert to fraction form
    51,765/70,722 = 70,722/x
  3. Step 3: Cross multiply
    51,765x = 70,722 × 70,722
  4. Step 4: Simplify right side
    51,765x = 5,001,601,284
  5. Step 5: Solve for x
    x = 5,001,601,284/51,765
  6. Step 6: Final answer
    x = 96,621.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.