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Finding the Third Proportional to 31,200 and 48,004

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Solution

The third proportional to 31,200 and 48,004 is: 73,858.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200 : 48,004 = 48,004 : x
  2. Step 2: Convert to fraction form
    31,200/48,004 = 48,004/x
  3. Step 3: Cross multiply
    31,200x = 48,004 × 48,004
  4. Step 4: Simplify right side
    31,200x = 2,304,384,016
  5. Step 5: Solve for x
    x = 2,304,384,016/31,200
  6. Step 6: Final answer
    x = 73,858.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.