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Finding the Third Proportional to 2,005.13 and 4,397.63

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Solution

The third proportional to 2,005.13 and 4,397.63 is: 9,644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.13 : 4,397.63 = 4,397.63 : x
  2. Step 2: Convert to fraction form
    2,005.13/4,397.63 = 4,397.63/x
  3. Step 3: Cross multiply
    2,005.13x = 4,397.63 × 4,397.63
  4. Step 4: Simplify right side
    2,005.13x = 19,339,105.64
  5. Step 5: Solve for x
    x = 19,339,105.64/2,005.13
  6. Step 6: Final answer
    x = 9,644.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.