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Finding the Third Proportional to 4,709.25 and 7,455.38

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Solution

The third proportional to 4,709.25 and 7,455.38 is: 11,802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.25 : 7,455.38 = 7,455.38 : x
  2. Step 2: Convert to fraction form
    4,709.25/7,455.38 = 7,455.38/x
  3. Step 3: Cross multiply
    4,709.25x = 7,455.38 × 7,455.38
  4. Step 4: Simplify right side
    4,709.25x = 55,582,616.39
  5. Step 5: Solve for x
    x = 55,582,616.39/4,709.25
  6. Step 6: Final answer
    x = 11,802.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.