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Finding the Third Proportional to 2,185 and 4,677

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Solution

The third proportional to 2,185 and 4,677 is: 10,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185 : 4,677 = 4,677 : x
  2. Step 2: Convert to fraction form
    2,185/4,677 = 4,677/x
  3. Step 3: Cross multiply
    2,185x = 4,677 × 4,677
  4. Step 4: Simplify right side
    2,185x = 21,874,329
  5. Step 5: Solve for x
    x = 21,874,329/2,185
  6. Step 6: Final answer
    x = 10,011.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.