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Finding the Third Proportional to 2,813.06 and 4,523.91

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Solution

The third proportional to 2,813.06 and 4,523.91 is: 7,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.06 : 4,523.91 = 4,523.91 : x
  2. Step 2: Convert to fraction form
    2,813.06/4,523.91 = 4,523.91/x
  3. Step 3: Cross multiply
    2,813.06x = 4,523.91 × 4,523.91
  4. Step 4: Simplify right side
    2,813.06x = 20,465,727.76
  5. Step 5: Solve for x
    x = 20,465,727.76/2,813.06
  6. Step 6: Final answer
    x = 7,275.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.