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Finding the Third Proportional to 39,006 and 91,984

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Solution

The third proportional to 39,006 and 91,984 is: 216,916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,006 : 91,984 = 91,984 : x
  2. Step 2: Convert to fraction form
    39,006/91,984 = 91,984/x
  3. Step 3: Cross multiply
    39,006x = 91,984 × 91,984
  4. Step 4: Simplify right side
    39,006x = 8,461,056,256
  5. Step 5: Solve for x
    x = 8,461,056,256/39,006
  6. Step 6: Final answer
    x = 216,916.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.