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Finding the Third Proportional to 4,755.25 and 7,318.38

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Solution

The third proportional to 4,755.25 and 7,318.38 is: 11,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.25 : 7,318.38 = 7,318.38 : x
  2. Step 2: Convert to fraction form
    4,755.25/7,318.38 = 7,318.38/x
  3. Step 3: Cross multiply
    4,755.25x = 7,318.38 × 7,318.38
  4. Step 4: Simplify right side
    4,755.25x = 53,558,612.64
  5. Step 5: Solve for x
    x = 53,558,612.64/4,755.25
  6. Step 6: Final answer
    x = 11,263.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.