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Finding the Third Proportional to 53,048 and 69,722

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Solution

The third proportional to 53,048 and 69,722 is: 91,636.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,048 : 69,722 = 69,722 : x
  2. Step 2: Convert to fraction form
    53,048/69,722 = 69,722/x
  3. Step 3: Cross multiply
    53,048x = 69,722 × 69,722
  4. Step 4: Simplify right side
    53,048x = 4,861,157,284
  5. Step 5: Solve for x
    x = 4,861,157,284/53,048
  6. Step 6: Final answer
    x = 91,636.96

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.