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Finding the Third Proportional to 3,334.50 and 7,048.69

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Solution

The third proportional to 3,334.50 and 7,048.69 is: 14,899.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.50 : 7,048.69 = 7,048.69 : x
  2. Step 2: Convert to fraction form
    3,334.50/7,048.69 = 7,048.69/x
  3. Step 3: Cross multiply
    3,334.50x = 7,048.69 × 7,048.69
  4. Step 4: Simplify right side
    3,334.50x = 49,683,995.47
  5. Step 5: Solve for x
    x = 49,683,995.47/3,334.50
  6. Step 6: Final answer
    x = 14,899.98

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.