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Finding the Third Proportional to 4,406 and 9,658

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Solution

The third proportional to 4,406 and 9,658 is: 21,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406 : 9,658 = 9,658 : x
  2. Step 2: Convert to fraction form
    4,406/9,658 = 9,658/x
  3. Step 3: Cross multiply
    4,406x = 9,658 × 9,658
  4. Step 4: Simplify right side
    4,406x = 93,276,964
  5. Step 5: Solve for x
    x = 93,276,964/4,406
  6. Step 6: Final answer
    x = 21,170.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.