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Finding the Third Proportional to 14,346 and 30,890

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Solution

The third proportional to 14,346 and 30,890 is: 66,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,346 : 30,890 = 30,890 : x
  2. Step 2: Convert to fraction form
    14,346/30,890 = 30,890/x
  3. Step 3: Cross multiply
    14,346x = 30,890 × 30,890
  4. Step 4: Simplify right side
    14,346x = 954,192,100
  5. Step 5: Solve for x
    x = 954,192,100/14,346
  6. Step 6: Final answer
    x = 66,512.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.