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Finding the Third Proportional to 1,522.13 and 3,328.88

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Solution

The third proportional to 1,522.13 and 3,328.88 is: 7,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.13 : 3,328.88 = 3,328.88 : x
  2. Step 2: Convert to fraction form
    1,522.13/3,328.88 = 3,328.88/x
  3. Step 3: Cross multiply
    1,522.13x = 3,328.88 × 3,328.88
  4. Step 4: Simplify right side
    1,522.13x = 11,081,408.77
  5. Step 5: Solve for x
    x = 11,081,408.77/1,522.13
  6. Step 6: Final answer
    x = 7,280.22

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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.