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Finding the Third Proportional to 12,114 and 18,707

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Solution

The third proportional to 12,114 and 18,707 is: 28,888.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114 : 18,707 = 18,707 : x
  2. Step 2: Convert to fraction form
    12,114/18,707 = 18,707/x
  3. Step 3: Cross multiply
    12,114x = 18,707 × 18,707
  4. Step 4: Simplify right side
    12,114x = 349,951,849
  5. Step 5: Solve for x
    x = 349,951,849/12,114
  6. Step 6: Final answer
    x = 28,888.22

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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.