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Finding the Third Proportional to 6,065.25 and 9,060

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Solution

The third proportional to 6,065.25 and 9,060 is: 13,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.25 : 9,060 = 9,060 : x
  2. Step 2: Convert to fraction form
    6,065.25/9,060 = 9,060/x
  3. Step 3: Cross multiply
    6,065.25x = 9,060 × 9,060
  4. Step 4: Simplify right side
    6,065.25x = 82,083,600
  5. Step 5: Solve for x
    x = 82,083,600/6,065.25
  6. Step 6: Final answer
    x = 13,533.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.