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Finding the Third Proportional to 2,053.69 and 4,499.72

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Solution

The third proportional to 2,053.69 and 4,499.72 is: 9,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.69 : 4,499.72 = 4,499.72 : x
  2. Step 2: Convert to fraction form
    2,053.69/4,499.72 = 4,499.72/x
  3. Step 3: Cross multiply
    2,053.69x = 4,499.72 × 4,499.72
  4. Step 4: Simplify right side
    2,053.69x = 20,247,468.83
  5. Step 5: Solve for x
    x = 20,247,468.83/2,053.69
  6. Step 6: Final answer
    x = 9,859.08

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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.