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Finding the Third Proportional to 7,082 and 15,382

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Solution

The third proportional to 7,082 and 15,382 is: 33,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082 : 15,382 = 15,382 : x
  2. Step 2: Convert to fraction form
    7,082/15,382 = 15,382/x
  3. Step 3: Cross multiply
    7,082x = 15,382 × 15,382
  4. Step 4: Simplify right side
    7,082x = 236,605,924
  5. Step 5: Solve for x
    x = 236,605,924/7,082
  6. Step 6: Final answer
    x = 33,409.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.