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Finding the Third Proportional to 33,810 and 48,970

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Solution

The third proportional to 33,810 and 48,970 is: 70,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,810 : 48,970 = 48,970 : x
  2. Step 2: Convert to fraction form
    33,810/48,970 = 48,970/x
  3. Step 3: Cross multiply
    33,810x = 48,970 × 48,970
  4. Step 4: Simplify right side
    33,810x = 2,398,060,900
  5. Step 5: Solve for x
    x = 2,398,060,900/33,810
  6. Step 6: Final answer
    x = 70,927.56

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.