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Finding the Third Proportional to 3,028.50 and 4,053.38

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Solution

The third proportional to 3,028.50 and 4,053.38 is: 5,425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.50 : 4,053.38 = 4,053.38 : x
  2. Step 2: Convert to fraction form
    3,028.50/4,053.38 = 4,053.38/x
  3. Step 3: Cross multiply
    3,028.50x = 4,053.38 × 4,053.38
  4. Step 4: Simplify right side
    3,028.50x = 16,429,848.89
  5. Step 5: Solve for x
    x = 16,429,848.89/3,028.50
  6. Step 6: Final answer
    x = 5,425.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.