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Finding the Third Proportional to 9,503 and 21,997

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Solution

The third proportional to 9,503 and 21,997 is: 50,917.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503 : 21,997 = 21,997 : x
  2. Step 2: Convert to fraction form
    9,503/21,997 = 21,997/x
  3. Step 3: Cross multiply
    9,503x = 21,997 × 21,997
  4. Step 4: Simplify right side
    9,503x = 483,868,009
  5. Step 5: Solve for x
    x = 483,868,009/9,503
  6. Step 6: Final answer
    x = 50,917.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.