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Finding the Third Proportional to 5,290.50 and 6,957.75

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Solution

The third proportional to 5,290.50 and 6,957.75 is: 9,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.50 : 6,957.75 = 6,957.75 : x
  2. Step 2: Convert to fraction form
    5,290.50/6,957.75 = 6,957.75/x
  3. Step 3: Cross multiply
    5,290.50x = 6,957.75 × 6,957.75
  4. Step 4: Simplify right side
    5,290.50x = 48,410,285.06
  5. Step 5: Solve for x
    x = 48,410,285.06/5,290.50
  6. Step 6: Final answer
    x = 9,150.42

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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.