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Finding the Third Proportional to 9,071 and 12,997

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Solution

The third proportional to 9,071 and 12,997 is: 18,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071 : 12,997 = 12,997 : x
  2. Step 2: Convert to fraction form
    9,071/12,997 = 12,997/x
  3. Step 3: Cross multiply
    9,071x = 12,997 × 12,997
  4. Step 4: Simplify right side
    9,071x = 168,922,009
  5. Step 5: Solve for x
    x = 168,922,009/9,071
  6. Step 6: Final answer
    x = 18,622.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.