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Finding the Third Proportional to 2,053.69 and 2,276.44

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Solution

The third proportional to 2,053.69 and 2,276.44 is: 2,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.69 : 2,276.44 = 2,276.44 : x
  2. Step 2: Convert to fraction form
    2,053.69/2,276.44 = 2,276.44/x
  3. Step 3: Cross multiply
    2,053.69x = 2,276.44 × 2,276.44
  4. Step 4: Simplify right side
    2,053.69x = 5,182,167.69
  5. Step 5: Solve for x
    x = 5,182,167.69/2,053.69
  6. Step 6: Final answer
    x = 2,523.35

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.