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Finding the Third Proportional to 30,623.25 and 47,296.50

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Solution

The third proportional to 30,623.25 and 47,296.50 is: 73,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,623.25 : 47,296.50 = 47,296.50 : x
  2. Step 2: Convert to fraction form
    30,623.25/47,296.50 = 47,296.50/x
  3. Step 3: Cross multiply
    30,623.25x = 47,296.50 × 47,296.50
  4. Step 4: Simplify right side
    30,623.25x = 2,236,958,912.25
  5. Step 5: Solve for x
    x = 2,236,958,912.25/30,623.25
  6. Step 6: Final answer
    x = 73,047.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.