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Finding the Third Proportional to 7,862 and 18,623

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Solution

The third proportional to 7,862 and 18,623 is: 44,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862 : 18,623 = 18,623 : x
  2. Step 2: Convert to fraction form
    7,862/18,623 = 18,623/x
  3. Step 3: Cross multiply
    7,862x = 18,623 × 18,623
  4. Step 4: Simplify right side
    7,862x = 346,816,129
  5. Step 5: Solve for x
    x = 346,816,129/7,862
  6. Step 6: Final answer
    x = 44,112.96

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.