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Finding the Third Proportional to 4,219.69 and 6,534.56

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Solution

The third proportional to 4,219.69 and 6,534.56 is: 10,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.69 : 6,534.56 = 6,534.56 : x
  2. Step 2: Convert to fraction form
    4,219.69/6,534.56 = 6,534.56/x
  3. Step 3: Cross multiply
    4,219.69x = 6,534.56 × 6,534.56
  4. Step 4: Simplify right side
    4,219.69x = 42,700,507.07
  5. Step 5: Solve for x
    x = 42,700,507.07/4,219.69
  6. Step 6: Final answer
    x = 10,119.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.