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Finding the Third Proportional to 5,648 and 7,623

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Solution

The third proportional to 5,648 and 7,623 is: 10,288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648 : 7,623 = 7,623 : x
  2. Step 2: Convert to fraction form
    5,648/7,623 = 7,623/x
  3. Step 3: Cross multiply
    5,648x = 7,623 × 7,623
  4. Step 4: Simplify right side
    5,648x = 58,110,129
  5. Step 5: Solve for x
    x = 58,110,129/5,648
  6. Step 6: Final answer
    x = 10,288.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.