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Finding the Third Proportional to 9,471.94 and 14,339.53

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Solution

The third proportional to 9,471.94 and 14,339.53 is: 21,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.94 : 14,339.53 = 14,339.53 : x
  2. Step 2: Convert to fraction form
    9,471.94/14,339.53 = 14,339.53/x
  3. Step 3: Cross multiply
    9,471.94x = 14,339.53 × 14,339.53
  4. Step 4: Simplify right side
    9,471.94x = 205,622,156.47
  5. Step 5: Solve for x
    x = 205,622,156.47/9,471.94
  6. Step 6: Final answer
    x = 21,708.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.