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Finding the Third Proportional to 14,245 and 30,865

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Solution

The third proportional to 14,245 and 30,865 is: 66,875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,245 : 30,865 = 30,865 : x
  2. Step 2: Convert to fraction form
    14,245/30,865 = 30,865/x
  3. Step 3: Cross multiply
    14,245x = 30,865 × 30,865
  4. Step 4: Simplify right side
    14,245x = 952,648,225
  5. Step 5: Solve for x
    x = 952,648,225/14,245
  6. Step 6: Final answer
    x = 66,875.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.