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Finding the Third Proportional to 4,736.13 and 7,104.25

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Solution

The third proportional to 4,736.13 and 7,104.25 is: 10,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.13 : 7,104.25 = 7,104.25 : x
  2. Step 2: Convert to fraction form
    4,736.13/7,104.25 = 7,104.25/x
  3. Step 3: Cross multiply
    4,736.13x = 7,104.25 × 7,104.25
  4. Step 4: Simplify right side
    4,736.13x = 50,470,368.06
  5. Step 5: Solve for x
    x = 50,470,368.06/4,736.13
  6. Step 6: Final answer
    x = 10,656.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.