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Finding the Third Proportional to 2,049.47 and 4,445.72

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Solution

The third proportional to 2,049.47 and 4,445.72 is: 9,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.47 : 4,445.72 = 4,445.72 : x
  2. Step 2: Convert to fraction form
    2,049.47/4,445.72 = 4,445.72/x
  3. Step 3: Cross multiply
    2,049.47x = 4,445.72 × 4,445.72
  4. Step 4: Simplify right side
    2,049.47x = 19,764,415.20
  5. Step 5: Solve for x
    x = 19,764,415.20/2,049.47
  6. Step 6: Final answer
    x = 9,643.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.