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Finding the Third Proportional to 3,128.63 and 5,863.22

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Solution

The third proportional to 3,128.63 and 5,863.22 is: 10,988.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.63 : 5,863.22 = 5,863.22 : x
  2. Step 2: Convert to fraction form
    3,128.63/5,863.22 = 5,863.22/x
  3. Step 3: Cross multiply
    3,128.63x = 5,863.22 × 5,863.22
  4. Step 4: Simplify right side
    3,128.63x = 34,377,334.11
  5. Step 5: Solve for x
    x = 34,377,334.11/3,128.63
  6. Step 6: Final answer
    x = 10,988.00

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.