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Finding the Third Proportional to 17,796 and 28,362

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Solution

The third proportional to 17,796 and 28,362 is: 45,201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,796 : 28,362 = 28,362 : x
  2. Step 2: Convert to fraction form
    17,796/28,362 = 28,362/x
  3. Step 3: Cross multiply
    17,796x = 28,362 × 28,362
  4. Step 4: Simplify right side
    17,796x = 804,403,044
  5. Step 5: Solve for x
    x = 804,403,044/17,796
  6. Step 6: Final answer
    x = 45,201.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.