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Finding the Third Proportional to 14,134 and 21,230

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Solution

The third proportional to 14,134 and 21,230 is: 31,888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134 : 21,230 = 21,230 : x
  2. Step 2: Convert to fraction form
    14,134/21,230 = 21,230/x
  3. Step 3: Cross multiply
    14,134x = 21,230 × 21,230
  4. Step 4: Simplify right side
    14,134x = 450,712,900
  5. Step 5: Solve for x
    x = 450,712,900/14,134
  6. Step 6: Final answer
    x = 31,888.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.