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Finding the Third Proportional to 4,695.19 and 7,161.19

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Solution

The third proportional to 4,695.19 and 7,161.19 is: 10,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.19 : 7,161.19 = 7,161.19 : x
  2. Step 2: Convert to fraction form
    4,695.19/7,161.19 = 7,161.19/x
  3. Step 3: Cross multiply
    4,695.19x = 7,161.19 × 7,161.19
  4. Step 4: Simplify right side
    4,695.19x = 51,282,606.41
  5. Step 5: Solve for x
    x = 51,282,606.41/4,695.19
  6. Step 6: Final answer
    x = 10,922.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.