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Finding the Third Proportional to 5,278.50 and 6,945.75

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Solution

The third proportional to 5,278.50 and 6,945.75 is: 9,139.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.50 : 6,945.75 = 6,945.75 : x
  2. Step 2: Convert to fraction form
    5,278.50/6,945.75 = 6,945.75/x
  3. Step 3: Cross multiply
    5,278.50x = 6,945.75 × 6,945.75
  4. Step 4: Simplify right side
    5,278.50x = 48,243,443.06
  5. Step 5: Solve for x
    x = 48,243,443.06/5,278.50
  6. Step 6: Final answer
    x = 9,139.61

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.