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Finding the Third Proportional to 8,046 and 18,596.25

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Solution

The third proportional to 8,046 and 18,596.25 is: 42,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046 : 18,596.25 = 18,596.25 : x
  2. Step 2: Convert to fraction form
    8,046/18,596.25 = 18,596.25/x
  3. Step 3: Cross multiply
    8,046x = 18,596.25 × 18,596.25
  4. Step 4: Simplify right side
    8,046x = 345,820,514.06
  5. Step 5: Solve for x
    x = 345,820,514.06/8,046
  6. Step 6: Final answer
    x = 42,980.43

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.