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Finding the Third Proportional to 15,938 and 23,395

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Solution

The third proportional to 15,938 and 23,395 is: 34,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,938 : 23,395 = 23,395 : x
  2. Step 2: Convert to fraction form
    15,938/23,395 = 23,395/x
  3. Step 3: Cross multiply
    15,938x = 23,395 × 23,395
  4. Step 4: Simplify right side
    15,938x = 547,326,025
  5. Step 5: Solve for x
    x = 547,326,025/15,938
  6. Step 6: Final answer
    x = 34,340.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.