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Finding the Third Proportional to 15,182 and 30,982

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Solution

The third proportional to 15,182 and 30,982 is: 63,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,182 : 30,982 = 30,982 : x
  2. Step 2: Convert to fraction form
    15,182/30,982 = 30,982/x
  3. Step 3: Cross multiply
    15,182x = 30,982 × 30,982
  4. Step 4: Simplify right side
    15,182x = 959,884,324
  5. Step 5: Solve for x
    x = 959,884,324/15,182
  6. Step 6: Final answer
    x = 63,225.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.