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Finding the Third Proportional to 34,004 and 48,982

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Solution

The third proportional to 34,004 and 48,982 is: 70,557.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,004 : 48,982 = 48,982 : x
  2. Step 2: Convert to fraction form
    34,004/48,982 = 48,982/x
  3. Step 3: Cross multiply
    34,004x = 48,982 × 48,982
  4. Step 4: Simplify right side
    34,004x = 2,399,236,324
  5. Step 5: Solve for x
    x = 2,399,236,324/34,004
  6. Step 6: Final answer
    x = 70,557.47

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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.