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Finding the Third Proportional to 5,786 and 6,623

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Solution

The third proportional to 5,786 and 6,623 is: 7,581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786 : 6,623 = 6,623 : x
  2. Step 2: Convert to fraction form
    5,786/6,623 = 6,623/x
  3. Step 3: Cross multiply
    5,786x = 6,623 × 6,623
  4. Step 4: Simplify right side
    5,786x = 43,864,129
  5. Step 5: Solve for x
    x = 43,864,129/5,786
  6. Step 6: Final answer
    x = 7,581.08

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.