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Finding the Third Proportional to 5,616.84 and 6,606.56

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Solution

The third proportional to 5,616.84 and 6,606.56 is: 7,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.84 : 6,606.56 = 6,606.56 : x
  2. Step 2: Convert to fraction form
    5,616.84/6,606.56 = 6,606.56/x
  3. Step 3: Cross multiply
    5,616.84x = 6,606.56 × 6,606.56
  4. Step 4: Simplify right side
    5,616.84x = 43,646,668.07
  5. Step 5: Solve for x
    x = 43,646,668.07/5,616.84
  6. Step 6: Final answer
    x = 7,770.68

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.