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Finding the Third Proportional to 3,688.76 and 5,561.07

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Solution

The third proportional to 3,688.76 and 5,561.07 is: 8,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.76 : 5,561.07 = 5,561.07 : x
  2. Step 2: Convert to fraction form
    3,688.76/5,561.07 = 5,561.07/x
  3. Step 3: Cross multiply
    3,688.76x = 5,561.07 × 5,561.07
  4. Step 4: Simplify right side
    3,688.76x = 30,925,524.06
  5. Step 5: Solve for x
    x = 30,925,524.06/3,688.76
  6. Step 6: Final answer
    x = 8,383.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.