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Finding the Third Proportional to 12,343.50 and 17,466

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Solution

The third proportional to 12,343.50 and 17,466 is: 24,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.50 : 17,466 = 17,466 : x
  2. Step 2: Convert to fraction form
    12,343.50/17,466 = 17,466/x
  3. Step 3: Cross multiply
    12,343.50x = 17,466 × 17,466
  4. Step 4: Simplify right side
    12,343.50x = 305,061,156
  5. Step 5: Solve for x
    x = 305,061,156/12,343.50
  6. Step 6: Final answer
    x = 24,714.32

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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.