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Finding the Third Proportional to 7,161.19 and 10,820.81

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Solution

The third proportional to 7,161.19 and 10,820.81 is: 16,350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.19 : 10,820.81 = 10,820.81 : x
  2. Step 2: Convert to fraction form
    7,161.19/10,820.81 = 10,820.81/x
  3. Step 3: Cross multiply
    7,161.19x = 10,820.81 × 10,820.81
  4. Step 4: Simplify right side
    7,161.19x = 117,089,983.16
  5. Step 5: Solve for x
    x = 117,089,983.16/7,161.19
  6. Step 6: Final answer
    x = 16,350.64

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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.