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Finding the Third Proportional to 3,187.27 and 4,590.84

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Solution

The third proportional to 3,187.27 and 4,590.84 is: 6,612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.27 : 4,590.84 = 4,590.84 : x
  2. Step 2: Convert to fraction form
    3,187.27/4,590.84 = 4,590.84/x
  3. Step 3: Cross multiply
    3,187.27x = 4,590.84 × 4,590.84
  4. Step 4: Simplify right side
    3,187.27x = 21,075,846.34
  5. Step 5: Solve for x
    x = 21,075,846.34/3,187.27
  6. Step 6: Final answer
    x = 6,612.52

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.