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Finding the Third Proportional to 15,981 and 34,764

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Solution

The third proportional to 15,981 and 34,764 is: 75,623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,981 : 34,764 = 34,764 : x
  2. Step 2: Convert to fraction form
    15,981/34,764 = 34,764/x
  3. Step 3: Cross multiply
    15,981x = 34,764 × 34,764
  4. Step 4: Simplify right side
    15,981x = 1,208,535,696
  5. Step 5: Solve for x
    x = 1,208,535,696/15,981
  6. Step 6: Final answer
    x = 75,623.28

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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.