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Finding the Third Proportional to 6,949.55 and 15,284.95

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Solution

The third proportional to 6,949.55 and 15,284.95 is: 33,617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.55 : 15,284.95 = 15,284.95 : x
  2. Step 2: Convert to fraction form
    6,949.55/15,284.95 = 15,284.95/x
  3. Step 3: Cross multiply
    6,949.55x = 15,284.95 × 15,284.95
  4. Step 4: Simplify right side
    6,949.55x = 233,629,792.03
  5. Step 5: Solve for x
    x = 233,629,792.03/6,949.55
  6. Step 6: Final answer
    x = 33,617.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.