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Finding the Third Proportional to 7,644 and 17,862

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Solution

The third proportional to 7,644 and 17,862 is: 41,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644 : 17,862 = 17,862 : x
  2. Step 2: Convert to fraction form
    7,644/17,862 = 17,862/x
  3. Step 3: Cross multiply
    7,644x = 17,862 × 17,862
  4. Step 4: Simplify right side
    7,644x = 319,051,044
  5. Step 5: Solve for x
    x = 319,051,044/7,644
  6. Step 6: Final answer
    x = 41,738.76

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.