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Finding the Third Proportional to 1,593.56 and 3,392.16

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Solution

The third proportional to 1,593.56 and 3,392.16 is: 7,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.56 : 3,392.16 = 3,392.16 : x
  2. Step 2: Convert to fraction form
    1,593.56/3,392.16 = 3,392.16/x
  3. Step 3: Cross multiply
    1,593.56x = 3,392.16 × 3,392.16
  4. Step 4: Simplify right side
    1,593.56x = 11,506,724.02
  5. Step 5: Solve for x
    x = 11,506,724.02/1,593.56
  6. Step 6: Final answer
    x = 7,220.75

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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.