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Finding the Third Proportional to 5,570.86 and 8,328.23

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Solution

The third proportional to 5,570.86 and 8,328.23 is: 12,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.86 : 8,328.23 = 8,328.23 : x
  2. Step 2: Convert to fraction form
    5,570.86/8,328.23 = 8,328.23/x
  3. Step 3: Cross multiply
    5,570.86x = 8,328.23 × 8,328.23
  4. Step 4: Simplify right side
    5,570.86x = 69,359,487.80
  5. Step 5: Solve for x
    x = 69,359,487.80/5,570.86
  6. Step 6: Final answer
    x = 12,450.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.