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Finding the Third Proportional to 8,513 and 18,395

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Solution

The third proportional to 8,513 and 18,395 is: 39,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513 : 18,395 = 18,395 : x
  2. Step 2: Convert to fraction form
    8,513/18,395 = 18,395/x
  3. Step 3: Cross multiply
    8,513x = 18,395 × 18,395
  4. Step 4: Simplify right side
    8,513x = 338,376,025
  5. Step 5: Solve for x
    x = 338,376,025/8,513
  6. Step 6: Final answer
    x = 39,748.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.