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Finding the Third Proportional to 3,165 and 5,646

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Solution

The third proportional to 3,165 and 5,646 is: 10,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165 : 5,646 = 5,646 : x
  2. Step 2: Convert to fraction form
    3,165/5,646 = 5,646/x
  3. Step 3: Cross multiply
    3,165x = 5,646 × 5,646
  4. Step 4: Simplify right side
    3,165x = 31,877,316
  5. Step 5: Solve for x
    x = 31,877,316/3,165
  6. Step 6: Final answer
    x = 10,071.82

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.