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Finding the Third Proportional to 1,562.91 and 3,328.59

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Solution

The third proportional to 1,562.91 and 3,328.59 is: 7,089.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.91 : 3,328.59 = 3,328.59 : x
  2. Step 2: Convert to fraction form
    1,562.91/3,328.59 = 3,328.59/x
  3. Step 3: Cross multiply
    1,562.91x = 3,328.59 × 3,328.59
  4. Step 4: Simplify right side
    1,562.91x = 11,079,536.35
  5. Step 5: Solve for x
    x = 11,079,536.35/1,562.91
  6. Step 6: Final answer
    x = 7,089.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.