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Finding the Third Proportional to 4,585.36 and 6,056.65

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Solution

The third proportional to 4,585.36 and 6,056.65 is: 8,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.36 : 6,056.65 = 6,056.65 : x
  2. Step 2: Convert to fraction form
    4,585.36/6,056.65 = 6,056.65/x
  3. Step 3: Cross multiply
    4,585.36x = 6,056.65 × 6,056.65
  4. Step 4: Simplify right side
    4,585.36x = 36,682,990.30
  5. Step 5: Solve for x
    x = 36,682,990.30/4,585.36
  6. Step 6: Final answer
    x = 8,000.03

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.