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Finding the Third Proportional to 34,004 and 48,983

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Solution

The third proportional to 34,004 and 48,983 is: 70,560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,004 : 48,983 = 48,983 : x
  2. Step 2: Convert to fraction form
    34,004/48,983 = 48,983/x
  3. Step 3: Cross multiply
    34,004x = 48,983 × 48,983
  4. Step 4: Simplify right side
    34,004x = 2,399,334,289
  5. Step 5: Solve for x
    x = 2,399,334,289/34,004
  6. Step 6: Final answer
    x = 70,560.35

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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.