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Finding the Third Proportional to 12,083 and 18,486

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Solution

The third proportional to 12,083 and 18,486 is: 28,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083 : 18,486 = 18,486 : x
  2. Step 2: Convert to fraction form
    12,083/18,486 = 18,486/x
  3. Step 3: Cross multiply
    12,083x = 18,486 × 18,486
  4. Step 4: Simplify right side
    12,083x = 341,732,196
  5. Step 5: Solve for x
    x = 341,732,196/12,083
  6. Step 6: Final answer
    x = 28,282.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.