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Finding the Third Proportional to 38,974 and 57,002

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Solution

The third proportional to 38,974 and 57,002 is: 83,369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,974 : 57,002 = 57,002 : x
  2. Step 2: Convert to fraction form
    38,974/57,002 = 57,002/x
  3. Step 3: Cross multiply
    38,974x = 57,002 × 57,002
  4. Step 4: Simplify right side
    38,974x = 3,249,228,004
  5. Step 5: Solve for x
    x = 3,249,228,004/38,974
  6. Step 6: Final answer
    x = 83,369.12

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.