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Finding the Third Proportional to 3,532.64 and 7,428.80

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Solution

The third proportional to 3,532.64 and 7,428.80 is: 15,622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.64 : 7,428.80 = 7,428.80 : x
  2. Step 2: Convert to fraction form
    3,532.64/7,428.80 = 7,428.80/x
  3. Step 3: Cross multiply
    3,532.64x = 7,428.80 × 7,428.80
  4. Step 4: Simplify right side
    3,532.64x = 55,187,023.01
  5. Step 5: Solve for x
    x = 55,187,023.01/3,532.64
  6. Step 6: Final answer
    x = 15,622.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.