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Finding the Third Proportional to 3,165.17 and 6,887.77

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Solution

The third proportional to 3,165.17 and 6,887.77 is: 14,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.17 : 6,887.77 = 6,887.77 : x
  2. Step 2: Convert to fraction form
    3,165.17/6,887.77 = 6,887.77/x
  3. Step 3: Cross multiply
    3,165.17x = 6,887.77 × 6,887.77
  4. Step 4: Simplify right side
    3,165.17x = 47,441,355.66
  5. Step 5: Solve for x
    x = 47,441,355.66/3,165.17
  6. Step 6: Final answer
    x = 14,988.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.