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Finding the Third Proportional to 13,585 and 20,233

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Solution

The third proportional to 13,585 and 20,233 is: 30,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585 : 20,233 = 20,233 : x
  2. Step 2: Convert to fraction form
    13,585/20,233 = 20,233/x
  3. Step 3: Cross multiply
    13,585x = 20,233 × 20,233
  4. Step 4: Simplify right side
    13,585x = 409,374,289
  5. Step 5: Solve for x
    x = 409,374,289/13,585
  6. Step 6: Final answer
    x = 30,134.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.