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Finding the Third Proportional to 4,704 and 10,305.75

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Solution

The third proportional to 4,704 and 10,305.75 is: 22,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704 : 10,305.75 = 10,305.75 : x
  2. Step 2: Convert to fraction form
    4,704/10,305.75 = 10,305.75/x
  3. Step 3: Cross multiply
    4,704x = 10,305.75 × 10,305.75
  4. Step 4: Simplify right side
    4,704x = 106,208,483.06
  5. Step 5: Solve for x
    x = 106,208,483.06/4,704
  6. Step 6: Final answer
    x = 22,578.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.