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Finding the Third Proportional to 6,664.78 and 14,362.03

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Solution

The third proportional to 6,664.78 and 14,362.03 is: 30,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.78 : 14,362.03 = 14,362.03 : x
  2. Step 2: Convert to fraction form
    6,664.78/14,362.03 = 14,362.03/x
  3. Step 3: Cross multiply
    6,664.78x = 14,362.03 × 14,362.03
  4. Step 4: Simplify right side
    6,664.78x = 206,267,941.63
  5. Step 5: Solve for x
    x = 206,267,941.63/6,664.78
  6. Step 6: Final answer
    x = 30,948.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.