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Finding the Third Proportional to 5,425.31 and 13,100.06

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Solution

The third proportional to 5,425.31 and 13,100.06 is: 31,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.31 : 13,100.06 = 13,100.06 : x
  2. Step 2: Convert to fraction form
    5,425.31/13,100.06 = 13,100.06/x
  3. Step 3: Cross multiply
    5,425.31x = 13,100.06 × 13,100.06
  4. Step 4: Simplify right side
    5,425.31x = 171,611,637.50
  5. Step 5: Solve for x
    x = 171,611,637.50/5,425.31
  6. Step 6: Final answer
    x = 31,631.66

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.