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Finding the Third Proportional to 4,516.59 and 6,523.88

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Solution

The third proportional to 4,516.59 and 6,523.88 is: 9,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.59 : 6,523.88 = 6,523.88 : x
  2. Step 2: Convert to fraction form
    4,516.59/6,523.88 = 6,523.88/x
  3. Step 3: Cross multiply
    4,516.59x = 6,523.88 × 6,523.88
  4. Step 4: Simplify right side
    4,516.59x = 42,560,945.02
  5. Step 5: Solve for x
    x = 42,560,945.02/4,516.59
  6. Step 6: Final answer
    x = 9,423.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.