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Finding the Third Proportional to 38,907 and 84,880.50

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Solution

The third proportional to 38,907 and 84,880.50 is: 185,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,907 : 84,880.50 = 84,880.50 : x
  2. Step 2: Convert to fraction form
    38,907/84,880.50 = 84,880.50/x
  3. Step 3: Cross multiply
    38,907x = 84,880.50 × 84,880.50
  4. Step 4: Simplify right side
    38,907x = 7,204,699,280.25
  5. Step 5: Solve for x
    x = 7,204,699,280.25/38,907
  6. Step 6: Final answer
    x = 185,177.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.