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Finding the Third Proportional to 10,143 and 14,843.25

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Solution

The third proportional to 10,143 and 14,843.25 is: 21,721.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143 : 14,843.25 = 14,843.25 : x
  2. Step 2: Convert to fraction form
    10,143/14,843.25 = 14,843.25/x
  3. Step 3: Cross multiply
    10,143x = 14,843.25 × 14,843.25
  4. Step 4: Simplify right side
    10,143x = 220,322,070.56
  5. Step 5: Solve for x
    x = 220,322,070.56/10,143
  6. Step 6: Final answer
    x = 21,721.59

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.