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Finding the Third Proportional to 3,457.69 and 7,236.84

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Solution

The third proportional to 3,457.69 and 7,236.84 is: 15,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.69 : 7,236.84 = 7,236.84 : x
  2. Step 2: Convert to fraction form
    3,457.69/7,236.84 = 7,236.84/x
  3. Step 3: Cross multiply
    3,457.69x = 7,236.84 × 7,236.84
  4. Step 4: Simplify right side
    3,457.69x = 52,371,907.46
  5. Step 5: Solve for x
    x = 52,371,907.46/3,457.69
  6. Step 6: Final answer
    x = 15,146.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.