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Finding the Third Proportional to 21,308 and 30,625

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Solution

The third proportional to 21,308 and 30,625 is: 44,015.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308 : 30,625 = 30,625 : x
  2. Step 2: Convert to fraction form
    21,308/30,625 = 30,625/x
  3. Step 3: Cross multiply
    21,308x = 30,625 × 30,625
  4. Step 4: Simplify right side
    21,308x = 937,890,625
  5. Step 5: Solve for x
    x = 937,890,625/21,308
  6. Step 6: Final answer
    x = 44,015.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.