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Finding the Third Proportional to 39,730.50 and 81,283.50

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Solution

The third proportional to 39,730.50 and 81,283.50 is: 166,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,730.50 : 81,283.50 = 81,283.50 : x
  2. Step 2: Convert to fraction form
    39,730.50/81,283.50 = 81,283.50/x
  3. Step 3: Cross multiply
    39,730.50x = 81,283.50 × 81,283.50
  4. Step 4: Simplify right side
    39,730.50x = 6,607,007,372.25
  5. Step 5: Solve for x
    x = 6,607,007,372.25/39,730.50
  6. Step 6: Final answer
    x = 166,295.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.