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Finding the Third Proportional to 4,558.69 and 7,209.28

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Solution

The third proportional to 4,558.69 and 7,209.28 is: 11,401.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.69 : 7,209.28 = 7,209.28 : x
  2. Step 2: Convert to fraction form
    4,558.69/7,209.28 = 7,209.28/x
  3. Step 3: Cross multiply
    4,558.69x = 7,209.28 × 7,209.28
  4. Step 4: Simplify right side
    4,558.69x = 51,973,736.14
  5. Step 5: Solve for x
    x = 51,973,736.14/4,558.69
  6. Step 6: Final answer
    x = 11,401.03

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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.