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Finding the Third Proportional to 10,548 and 16,042

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Solution

The third proportional to 10,548 and 16,042 is: 24,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548 : 16,042 = 16,042 : x
  2. Step 2: Convert to fraction form
    10,548/16,042 = 16,042/x
  3. Step 3: Cross multiply
    10,548x = 16,042 × 16,042
  4. Step 4: Simplify right side
    10,548x = 257,345,764
  5. Step 5: Solve for x
    x = 257,345,764/10,548
  6. Step 6: Final answer
    x = 24,397.59

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.