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Finding the Third Proportional to 5,453.25 and 8,648.25

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Solution

The third proportional to 5,453.25 and 8,648.25 is: 13,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453.25 : 8,648.25 = 8,648.25 : x
  2. Step 2: Convert to fraction form
    5,453.25/8,648.25 = 8,648.25/x
  3. Step 3: Cross multiply
    5,453.25x = 8,648.25 × 8,648.25
  4. Step 4: Simplify right side
    5,453.25x = 74,792,228.06
  5. Step 5: Solve for x
    x = 74,792,228.06/5,453.25
  6. Step 6: Final answer
    x = 13,715.17

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.