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Finding the Third Proportional to 2,182 and 4,658

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Solution

The third proportional to 2,182 and 4,658 is: 9,943.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182 : 4,658 = 4,658 : x
  2. Step 2: Convert to fraction form
    2,182/4,658 = 4,658/x
  3. Step 3: Cross multiply
    2,182x = 4,658 × 4,658
  4. Step 4: Simplify right side
    2,182x = 21,696,964
  5. Step 5: Solve for x
    x = 21,696,964/2,182
  6. Step 6: Final answer
    x = 9,943.61

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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.