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Finding the Third Proportional to 15,816 and 34,082

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Solution

The third proportional to 15,816 and 34,082 is: 73,443.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,816 : 34,082 = 34,082 : x
  2. Step 2: Convert to fraction form
    15,816/34,082 = 34,082/x
  3. Step 3: Cross multiply
    15,816x = 34,082 × 34,082
  4. Step 4: Simplify right side
    15,816x = 1,161,582,724
  5. Step 5: Solve for x
    x = 1,161,582,724/15,816
  6. Step 6: Final answer
    x = 73,443.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.