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Finding the Third Proportional to 42,774 and 62,873

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Solution

The third proportional to 42,774 and 62,873 is: 92,416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,774 : 62,873 = 62,873 : x
  2. Step 2: Convert to fraction form
    42,774/62,873 = 62,873/x
  3. Step 3: Cross multiply
    42,774x = 62,873 × 62,873
  4. Step 4: Simplify right side
    42,774x = 3,953,014,129
  5. Step 5: Solve for x
    x = 3,953,014,129/42,774
  6. Step 6: Final answer
    x = 92,416.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.