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Finding the Third Proportional to 5,802.75 and 12,639.75

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Solution

The third proportional to 5,802.75 and 12,639.75 is: 27,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.75 : 12,639.75 = 12,639.75 : x
  2. Step 2: Convert to fraction form
    5,802.75/12,639.75 = 12,639.75/x
  3. Step 3: Cross multiply
    5,802.75x = 12,639.75 × 12,639.75
  4. Step 4: Simplify right side
    5,802.75x = 159,763,280.06
  5. Step 5: Solve for x
    x = 159,763,280.06/5,802.75
  6. Step 6: Final answer
    x = 27,532.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.