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Finding the Third Proportional to 14,047.88 and 19,760.81

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Solution

The third proportional to 14,047.88 and 19,760.81 is: 27,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,047.88 : 19,760.81 = 19,760.81 : x
  2. Step 2: Convert to fraction form
    14,047.88/19,760.81 = 19,760.81/x
  3. Step 3: Cross multiply
    14,047.88x = 19,760.81 × 19,760.81
  4. Step 4: Simplify right side
    14,047.88x = 390,489,710.66
  5. Step 5: Solve for x
    x = 390,489,710.66/14,047.88
  6. Step 6: Final answer
    x = 27,797.07

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.