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Finding the Third Proportional to 2,300.19 and 4,997.64

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Solution

The third proportional to 2,300.19 and 4,997.64 is: 10,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.19 : 4,997.64 = 4,997.64 : x
  2. Step 2: Convert to fraction form
    2,300.19/4,997.64 = 4,997.64/x
  3. Step 3: Cross multiply
    2,300.19x = 4,997.64 × 4,997.64
  4. Step 4: Simplify right side
    2,300.19x = 24,976,372.77
  5. Step 5: Solve for x
    x = 24,976,372.77/2,300.19
  6. Step 6: Final answer
    x = 10,858.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.