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Finding the Third Proportional to 4,992.75 and 10,802.25

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Solution

The third proportional to 4,992.75 and 10,802.25 is: 23,371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.75 : 10,802.25 = 10,802.25 : x
  2. Step 2: Convert to fraction form
    4,992.75/10,802.25 = 10,802.25/x
  3. Step 3: Cross multiply
    4,992.75x = 10,802.25 × 10,802.25
  4. Step 4: Simplify right side
    4,992.75x = 116,688,605.06
  5. Step 5: Solve for x
    x = 116,688,605.06/4,992.75
  6. Step 6: Final answer
    x = 23,371.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.