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Finding the Third Proportional to 2,572.91 and 5,535.91

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Solution

The third proportional to 2,572.91 and 5,535.91 is: 11,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.91 : 5,535.91 = 5,535.91 : x
  2. Step 2: Convert to fraction form
    2,572.91/5,535.91 = 5,535.91/x
  3. Step 3: Cross multiply
    2,572.91x = 5,535.91 × 5,535.91
  4. Step 4: Simplify right side
    2,572.91x = 30,646,344.51
  5. Step 5: Solve for x
    x = 30,646,344.51/2,572.91
  6. Step 6: Final answer
    x = 11,911.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.