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Finding the Third Proportional to 15,914 and 23,405

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Solution

The third proportional to 15,914 and 23,405 is: 34,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914 : 23,405 = 23,405 : x
  2. Step 2: Convert to fraction form
    15,914/23,405 = 23,405/x
  3. Step 3: Cross multiply
    15,914x = 23,405 × 23,405
  4. Step 4: Simplify right side
    15,914x = 547,794,025
  5. Step 5: Solve for x
    x = 547,794,025/15,914
  6. Step 6: Final answer
    x = 34,422.15

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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.