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Finding the Third Proportional to 9,470.53 and 14,022.56

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Solution

The third proportional to 9,470.53 and 14,022.56 is: 20,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.53 : 14,022.56 = 14,022.56 : x
  2. Step 2: Convert to fraction form
    9,470.53/14,022.56 = 14,022.56/x
  3. Step 3: Cross multiply
    9,470.53x = 14,022.56 × 14,022.56
  4. Step 4: Simplify right side
    9,470.53x = 196,632,259.07
  5. Step 5: Solve for x
    x = 196,632,259.07/9,470.53
  6. Step 6: Final answer
    x = 20,762.54

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.