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Finding the Third Proportional to 2,297.11 and 4,901.77

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Solution

The third proportional to 2,297.11 and 4,901.77 is: 10,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.11 : 4,901.77 = 4,901.77 : x
  2. Step 2: Convert to fraction form
    2,297.11/4,901.77 = 4,901.77/x
  3. Step 3: Cross multiply
    2,297.11x = 4,901.77 × 4,901.77
  4. Step 4: Simplify right side
    2,297.11x = 24,027,306.24
  5. Step 5: Solve for x
    x = 24,027,306.24/2,297.11
  6. Step 6: Final answer
    x = 10,459.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.