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Finding the Third Proportional to 6,028.49 and 9,428.59

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Solution

The third proportional to 6,028.49 and 9,428.59 is: 14,746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,028.49 : 9,428.59 = 9,428.59 : x
  2. Step 2: Convert to fraction form
    6,028.49/9,428.59 = 9,428.59/x
  3. Step 3: Cross multiply
    6,028.49x = 9,428.59 × 9,428.59
  4. Step 4: Simplify right side
    6,028.49x = 88,898,306.44
  5. Step 5: Solve for x
    x = 88,898,306.44/6,028.49
  6. Step 6: Final answer
    x = 14,746.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.