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Finding the Third Proportional to 5,561.16 and 8,341.73

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Solution

The third proportional to 5,561.16 and 8,341.73 is: 12,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.16 : 8,341.73 = 8,341.73 : x
  2. Step 2: Convert to fraction form
    5,561.16/8,341.73 = 8,341.73/x
  3. Step 3: Cross multiply
    5,561.16x = 8,341.73 × 8,341.73
  4. Step 4: Simplify right side
    5,561.16x = 69,584,532.38
  5. Step 5: Solve for x
    x = 69,584,532.38/5,561.16
  6. Step 6: Final answer
    x = 12,512.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.