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Finding the Third Proportional to 18,985 and 30,233

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Solution

The third proportional to 18,985 and 30,233 is: 48,145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,985 : 30,233 = 30,233 : x
  2. Step 2: Convert to fraction form
    18,985/30,233 = 30,233/x
  3. Step 3: Cross multiply
    18,985x = 30,233 × 30,233
  4. Step 4: Simplify right side
    18,985x = 914,034,289
  5. Step 5: Solve for x
    x = 914,034,289/18,985
  6. Step 6: Final answer
    x = 48,145.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.