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Finding the Third Proportional to 4,887.84 and 10,605.94

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Solution

The third proportional to 4,887.84 and 10,605.94 is: 23,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.84 : 10,605.94 = 10,605.94 : x
  2. Step 2: Convert to fraction form
    4,887.84/10,605.94 = 10,605.94/x
  3. Step 3: Cross multiply
    4,887.84x = 10,605.94 × 10,605.94
  4. Step 4: Simplify right side
    4,887.84x = 112,485,910.25
  5. Step 5: Solve for x
    x = 112,485,910.25/4,887.84
  6. Step 6: Final answer
    x = 23,013.40

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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.