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Finding the Third Proportional to 4,501.69 and 7,071.19

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Solution

The third proportional to 4,501.69 and 7,071.19 is: 11,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,501.69 : 7,071.19 = 7,071.19 : x
  2. Step 2: Convert to fraction form
    4,501.69/7,071.19 = 7,071.19/x
  3. Step 3: Cross multiply
    4,501.69x = 7,071.19 × 7,071.19
  4. Step 4: Simplify right side
    4,501.69x = 50,001,692.66
  5. Step 5: Solve for x
    x = 50,001,692.66/4,501.69
  6. Step 6: Final answer
    x = 11,107.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.