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Finding the Third Proportional to 7,904 and 17,968

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Solution

The third proportional to 7,904 and 17,968 is: 40,846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904 : 17,968 = 17,968 : x
  2. Step 2: Convert to fraction form
    7,904/17,968 = 17,968/x
  3. Step 3: Cross multiply
    7,904x = 17,968 × 17,968
  4. Step 4: Simplify right side
    7,904x = 322,849,024
  5. Step 5: Solve for x
    x = 322,849,024/7,904
  6. Step 6: Final answer
    x = 40,846.28

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.