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Finding the Third Proportional to 12,046 and 18,538.75

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Solution

The third proportional to 12,046 and 18,538.75 is: 28,531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046 : 18,538.75 = 18,538.75 : x
  2. Step 2: Convert to fraction form
    12,046/18,538.75 = 18,538.75/x
  3. Step 3: Cross multiply
    12,046x = 18,538.75 × 18,538.75
  4. Step 4: Simplify right side
    12,046x = 343,685,251.56
  5. Step 5: Solve for x
    x = 343,685,251.56/12,046
  6. Step 6: Final answer
    x = 28,531.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.