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Finding the Third Proportional to 10,286 and 15,405

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Solution

The third proportional to 10,286 and 15,405 is: 23,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286 : 15,405 = 15,405 : x
  2. Step 2: Convert to fraction form
    10,286/15,405 = 15,405/x
  3. Step 3: Cross multiply
    10,286x = 15,405 × 15,405
  4. Step 4: Simplify right side
    10,286x = 237,314,025
  5. Step 5: Solve for x
    x = 237,314,025/10,286
  6. Step 6: Final answer
    x = 23,071.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.