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Finding the Third Proportional to 9,463 and 15,014

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Solution

The third proportional to 9,463 and 15,014 is: 23,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463 : 15,014 = 15,014 : x
  2. Step 2: Convert to fraction form
    9,463/15,014 = 15,014/x
  3. Step 3: Cross multiply
    9,463x = 15,014 × 15,014
  4. Step 4: Simplify right side
    9,463x = 225,420,196
  5. Step 5: Solve for x
    x = 225,420,196/9,463
  6. Step 6: Final answer
    x = 23,821.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.