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Finding the Third Proportional to 3,416.93 and 5,579.58

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Solution

The third proportional to 3,416.93 and 5,579.58 is: 9,111.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.93 : 5,579.58 = 5,579.58 : x
  2. Step 2: Convert to fraction form
    3,416.93/5,579.58 = 5,579.58/x
  3. Step 3: Cross multiply
    3,416.93x = 5,579.58 × 5,579.58
  4. Step 4: Simplify right side
    3,416.93x = 31,131,692.05
  5. Step 5: Solve for x
    x = 31,131,692.05/3,416.93
  6. Step 6: Final answer
    x = 9,111.01

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.