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Finding the Third Proportional to 4,145.63 and 6,022.13

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Solution

The third proportional to 4,145.63 and 6,022.13 is: 8,748.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.63 : 6,022.13 = 6,022.13 : x
  2. Step 2: Convert to fraction form
    4,145.63/6,022.13 = 6,022.13/x
  3. Step 3: Cross multiply
    4,145.63x = 6,022.13 × 6,022.13
  4. Step 4: Simplify right side
    4,145.63x = 36,265,989.52
  5. Step 5: Solve for x
    x = 36,265,989.52/4,145.63
  6. Step 6: Final answer
    x = 8,748.01

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.