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Finding the Third Proportional to 6,009.75 and 9,210.38

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Solution

The third proportional to 6,009.75 and 9,210.38 is: 14,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.75 : 9,210.38 = 9,210.38 : x
  2. Step 2: Convert to fraction form
    6,009.75/9,210.38 = 9,210.38/x
  3. Step 3: Cross multiply
    6,009.75x = 9,210.38 × 9,210.38
  4. Step 4: Simplify right side
    6,009.75x = 84,831,007.64
  5. Step 5: Solve for x
    x = 84,831,007.64/6,009.75
  6. Step 6: Final answer
    x = 14,115.56

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.