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Finding the Third Proportional to 4,310.72 and 5,613.05

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Solution

The third proportional to 4,310.72 and 5,613.05 is: 7,308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.72 : 5,613.05 = 5,613.05 : x
  2. Step 2: Convert to fraction form
    4,310.72/5,613.05 = 5,613.05/x
  3. Step 3: Cross multiply
    4,310.72x = 5,613.05 × 5,613.05
  4. Step 4: Simplify right side
    4,310.72x = 31,506,295.22
  5. Step 5: Solve for x
    x = 31,506,295.22/4,310.72
  6. Step 6: Final answer
    x = 7,308.83

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.