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Finding the Third Proportional to 5,880.75 and 8,605.13

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Solution

The third proportional to 5,880.75 and 8,605.13 is: 12,591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.75 : 8,605.13 = 8,605.13 : x
  2. Step 2: Convert to fraction form
    5,880.75/8,605.13 = 8,605.13/x
  3. Step 3: Cross multiply
    5,880.75x = 8,605.13 × 8,605.13
  4. Step 4: Simplify right side
    5,880.75x = 74,048,176.27
  5. Step 5: Solve for x
    x = 74,048,176.27/5,880.75
  6. Step 6: Final answer
    x = 12,591.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.