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Finding the Third Proportional to 14,380 and 21,481

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Solution

The third proportional to 14,380 and 21,481 is: 32,088.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380 : 21,481 = 21,481 : x
  2. Step 2: Convert to fraction form
    14,380/21,481 = 21,481/x
  3. Step 3: Cross multiply
    14,380x = 21,481 × 21,481
  4. Step 4: Simplify right side
    14,380x = 461,433,361
  5. Step 5: Solve for x
    x = 461,433,361/14,380
  6. Step 6: Final answer
    x = 32,088.55

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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.