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Finding the Third Proportional to 3,383.02 and 7,534.90

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Solution

The third proportional to 3,383.02 and 7,534.90 is: 16,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.02 : 7,534.90 = 7,534.90 : x
  2. Step 2: Convert to fraction form
    3,383.02/7,534.90 = 7,534.90/x
  3. Step 3: Cross multiply
    3,383.02x = 7,534.90 × 7,534.90
  4. Step 4: Simplify right side
    3,383.02x = 56,774,694.46
  5. Step 5: Solve for x
    x = 56,774,694.46/3,383.02
  6. Step 6: Final answer
    x = 16,782.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.