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Finding the Third Proportional to 5,824 and 9,284

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Solution

The third proportional to 5,824 and 9,284 is: 14,799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824 : 9,284 = 9,284 : x
  2. Step 2: Convert to fraction form
    5,824/9,284 = 9,284/x
  3. Step 3: Cross multiply
    5,824x = 9,284 × 9,284
  4. Step 4: Simplify right side
    5,824x = 86,192,656
  5. Step 5: Solve for x
    x = 86,192,656/5,824
  6. Step 6: Final answer
    x = 14,799.56

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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.