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Finding the Third Proportional to 4,866 and 7,515

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Solution

The third proportional to 4,866 and 7,515 is: 11,606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866 : 7,515 = 7,515 : x
  2. Step 2: Convert to fraction form
    4,866/7,515 = 7,515/x
  3. Step 3: Cross multiply
    4,866x = 7,515 × 7,515
  4. Step 4: Simplify right side
    4,866x = 56,475,225
  5. Step 5: Solve for x
    x = 56,475,225/4,866
  6. Step 6: Final answer
    x = 11,606.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.