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Finding the Third Proportional to 7,570 and 16,042

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Solution

The third proportional to 7,570 and 16,042 is: 33,995.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570 : 16,042 = 16,042 : x
  2. Step 2: Convert to fraction form
    7,570/16,042 = 16,042/x
  3. Step 3: Cross multiply
    7,570x = 16,042 × 16,042
  4. Step 4: Simplify right side
    7,570x = 257,345,764
  5. Step 5: Solve for x
    x = 257,345,764/7,570
  6. Step 6: Final answer
    x = 33,995.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.