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Finding the Third Proportional to 30,280.50 and 65,662.50

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Solution

The third proportional to 30,280.50 and 65,662.50 is: 142,387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,280.50 : 65,662.50 = 65,662.50 : x
  2. Step 2: Convert to fraction form
    30,280.50/65,662.50 = 65,662.50/x
  3. Step 3: Cross multiply
    30,280.50x = 65,662.50 × 65,662.50
  4. Step 4: Simplify right side
    30,280.50x = 4,311,563,906.25
  5. Step 5: Solve for x
    x = 4,311,563,906.25/30,280.50
  6. Step 6: Final answer
    x = 142,387.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.