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Finding the Third Proportional to 7,798 and 17,057

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Solution

The third proportional to 7,798 and 17,057 is: 37,309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798 : 17,057 = 17,057 : x
  2. Step 2: Convert to fraction form
    7,798/17,057 = 17,057/x
  3. Step 3: Cross multiply
    7,798x = 17,057 × 17,057
  4. Step 4: Simplify right side
    7,798x = 290,941,249
  5. Step 5: Solve for x
    x = 290,941,249/7,798
  6. Step 6: Final answer
    x = 37,309.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.