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Finding the Third Proportional to 4,997.64 and 10,593.28

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Solution

The third proportional to 4,997.64 and 10,593.28 is: 22,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.64 : 10,593.28 = 10,593.28 : x
  2. Step 2: Convert to fraction form
    4,997.64/10,593.28 = 10,593.28/x
  3. Step 3: Cross multiply
    4,997.64x = 10,593.28 × 10,593.28
  4. Step 4: Simplify right side
    4,997.64x = 112,217,607.64
  5. Step 5: Solve for x
    x = 112,217,607.64/4,997.64
  6. Step 6: Final answer
    x = 22,454.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.