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Finding the Third Proportional to 7,767.19 and 16,622.81

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Solution

The third proportional to 7,767.19 and 16,622.81 is: 35,575.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.19 : 16,622.81 = 16,622.81 : x
  2. Step 2: Convert to fraction form
    7,767.19/16,622.81 = 16,622.81/x
  3. Step 3: Cross multiply
    7,767.19x = 16,622.81 × 16,622.81
  4. Step 4: Simplify right side
    7,767.19x = 276,317,895.41
  5. Step 5: Solve for x
    x = 276,317,895.41/7,767.19
  6. Step 6: Final answer
    x = 35,575.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.