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Finding the Third Proportional to 4,864 and 7,530

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Solution

The third proportional to 4,864 and 7,530 is: 11,657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864 : 7,530 = 7,530 : x
  2. Step 2: Convert to fraction form
    4,864/7,530 = 7,530/x
  3. Step 3: Cross multiply
    4,864x = 7,530 × 7,530
  4. Step 4: Simplify right side
    4,864x = 56,700,900
  5. Step 5: Solve for x
    x = 56,700,900/4,864
  6. Step 6: Final answer
    x = 11,657.26

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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.