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Finding the Third Proportional to 3,646 and 9,574

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Solution

The third proportional to 3,646 and 9,574 is: 25,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646 : 9,574 = 9,574 : x
  2. Step 2: Convert to fraction form
    3,646/9,574 = 9,574/x
  3. Step 3: Cross multiply
    3,646x = 9,574 × 9,574
  4. Step 4: Simplify right side
    3,646x = 91,661,476
  5. Step 5: Solve for x
    x = 91,661,476/3,646
  6. Step 6: Final answer
    x = 25,140.28

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.