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Finding the Third Proportional to 6,065.25 and 9,683.25

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Solution

The third proportional to 6,065.25 and 9,683.25 is: 15,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.25 : 9,683.25 = 9,683.25 : x
  2. Step 2: Convert to fraction form
    6,065.25/9,683.25 = 9,683.25/x
  3. Step 3: Cross multiply
    6,065.25x = 9,683.25 × 9,683.25
  4. Step 4: Simplify right side
    6,065.25x = 93,765,330.56
  5. Step 5: Solve for x
    x = 93,765,330.56/6,065.25
  6. Step 6: Final answer
    x = 15,459.43

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.