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Finding the Third Proportional to 3,457.50 and 6,424.50

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Solution

The third proportional to 3,457.50 and 6,424.50 is: 11,937.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.50 : 6,424.50 = 6,424.50 : x
  2. Step 2: Convert to fraction form
    3,457.50/6,424.50 = 6,424.50/x
  3. Step 3: Cross multiply
    3,457.50x = 6,424.50 × 6,424.50
  4. Step 4: Simplify right side
    3,457.50x = 41,274,200.25
  5. Step 5: Solve for x
    x = 41,274,200.25/3,457.50
  6. Step 6: Final answer
    x = 11,937.59

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.