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Finding the Third Proportional to 10,890 and 14,481

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Solution

The third proportional to 10,890 and 14,481 is: 19,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,890 : 14,481 = 14,481 : x
  2. Step 2: Convert to fraction form
    10,890/14,481 = 14,481/x
  3. Step 3: Cross multiply
    10,890x = 14,481 × 14,481
  4. Step 4: Simplify right side
    10,890x = 209,699,361
  5. Step 5: Solve for x
    x = 209,699,361/10,890
  6. Step 6: Final answer
    x = 19,256.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.