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Finding the Third Proportional to 16,071.75 and 25,687.13

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Solution

The third proportional to 16,071.75 and 25,687.13 is: 41,055.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.75 : 25,687.13 = 25,687.13 : x
  2. Step 2: Convert to fraction form
    16,071.75/25,687.13 = 25,687.13/x
  3. Step 3: Cross multiply
    16,071.75x = 25,687.13 × 25,687.13
  4. Step 4: Simplify right side
    16,071.75x = 659,828,390.77
  5. Step 5: Solve for x
    x = 659,828,390.77/16,071.75
  6. Step 6: Final answer
    x = 41,055.17

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.