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Finding the Third Proportional to 42,247 and 63,244

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Solution

The third proportional to 42,247 and 63,244 is: 94,676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,247 : 63,244 = 63,244 : x
  2. Step 2: Convert to fraction form
    42,247/63,244 = 63,244/x
  3. Step 3: Cross multiply
    42,247x = 63,244 × 63,244
  4. Step 4: Simplify right side
    42,247x = 3,999,803,536
  5. Step 5: Solve for x
    x = 3,999,803,536/42,247
  6. Step 6: Final answer
    x = 94,676.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.