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Finding the Third Proportional to 3,583.13 and 7,871.63

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Solution

The third proportional to 3,583.13 and 7,871.63 is: 17,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.13 : 7,871.63 = 7,871.63 : x
  2. Step 2: Convert to fraction form
    3,583.13/7,871.63 = 7,871.63/x
  3. Step 3: Cross multiply
    3,583.13x = 7,871.63 × 7,871.63
  4. Step 4: Simplify right side
    3,583.13x = 61,962,480.14
  5. Step 5: Solve for x
    x = 61,962,480.14/3,583.13
  6. Step 6: Final answer
    x = 17,292.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.