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Finding the Third Proportional to 6,970.50 and 10,618.50

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Solution

The third proportional to 6,970.50 and 10,618.50 is: 16,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.50 : 10,618.50 = 10,618.50 : x
  2. Step 2: Convert to fraction form
    6,970.50/10,618.50 = 10,618.50/x
  3. Step 3: Cross multiply
    6,970.50x = 10,618.50 × 10,618.50
  4. Step 4: Simplify right side
    6,970.50x = 112,752,542.25
  5. Step 5: Solve for x
    x = 112,752,542.25/6,970.50
  6. Step 6: Final answer
    x = 16,175.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.