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Finding the Third Proportional to 38,008 and 59,004

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Solution

The third proportional to 38,008 and 59,004 is: 91,598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,008 : 59,004 = 59,004 : x
  2. Step 2: Convert to fraction form
    38,008/59,004 = 59,004/x
  3. Step 3: Cross multiply
    38,008x = 59,004 × 59,004
  4. Step 4: Simplify right side
    38,008x = 3,481,472,016
  5. Step 5: Solve for x
    x = 3,481,472,016/38,008
  6. Step 6: Final answer
    x = 91,598.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.