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Finding the Third Proportional to 6,608.25 and 10,624.50

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Solution

The third proportional to 6,608.25 and 10,624.50 is: 17,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.25 : 10,624.50 = 10,624.50 : x
  2. Step 2: Convert to fraction form
    6,608.25/10,624.50 = 10,624.50/x
  3. Step 3: Cross multiply
    6,608.25x = 10,624.50 × 10,624.50
  4. Step 4: Simplify right side
    6,608.25x = 112,880,000.25
  5. Step 5: Solve for x
    x = 112,880,000.25/6,608.25
  6. Step 6: Final answer
    x = 17,081.68

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.