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Finding the Third Proportional to 7,808 and 17,904

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Solution

The third proportional to 7,808 and 17,904 is: 41,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808 : 17,904 = 17,904 : x
  2. Step 2: Convert to fraction form
    7,808/17,904 = 17,904/x
  3. Step 3: Cross multiply
    7,808x = 17,904 × 17,904
  4. Step 4: Simplify right side
    7,808x = 320,553,216
  5. Step 5: Solve for x
    x = 320,553,216/7,808
  6. Step 6: Final answer
    x = 41,054.46

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.