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Finding the Third Proportional to 12,531.94 and 17,024.06

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Solution

The third proportional to 12,531.94 and 17,024.06 is: 23,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.94 : 17,024.06 = 17,024.06 : x
  2. Step 2: Convert to fraction form
    12,531.94/17,024.06 = 17,024.06/x
  3. Step 3: Cross multiply
    12,531.94x = 17,024.06 × 17,024.06
  4. Step 4: Simplify right side
    12,531.94x = 289,818,704.00
  5. Step 5: Solve for x
    x = 289,818,704.00/12,531.94
  6. Step 6: Final answer
    x = 23,126.41

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.