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Finding the Third Proportional to 4,735.13 and 7,073.44

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Solution

The third proportional to 4,735.13 and 7,073.44 is: 10,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.13 : 7,073.44 = 7,073.44 : x
  2. Step 2: Convert to fraction form
    4,735.13/7,073.44 = 7,073.44/x
  3. Step 3: Cross multiply
    4,735.13x = 7,073.44 × 7,073.44
  4. Step 4: Simplify right side
    4,735.13x = 50,033,518.07
  5. Step 5: Solve for x
    x = 50,033,518.07/4,735.13
  6. Step 6: Final answer
    x = 10,566.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.