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Finding the Third Proportional to 4,596.75 and 6,009.19

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Solution

The third proportional to 4,596.75 and 6,009.19 is: 7,855.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.75 : 6,009.19 = 6,009.19 : x
  2. Step 2: Convert to fraction form
    4,596.75/6,009.19 = 6,009.19/x
  3. Step 3: Cross multiply
    4,596.75x = 6,009.19 × 6,009.19
  4. Step 4: Simplify right side
    4,596.75x = 36,110,334.41
  5. Step 5: Solve for x
    x = 36,110,334.41/4,596.75
  6. Step 6: Final answer
    x = 7,855.62

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.