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Finding the Third Proportional to 33,030 and 49,816.50

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Solution

The third proportional to 33,030 and 49,816.50 is: 75,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,030 : 49,816.50 = 49,816.50 : x
  2. Step 2: Convert to fraction form
    33,030/49,816.50 = 49,816.50/x
  3. Step 3: Cross multiply
    33,030x = 49,816.50 × 49,816.50
  4. Step 4: Simplify right side
    33,030x = 2,481,683,672.25
  5. Step 5: Solve for x
    x = 2,481,683,672.25/33,030
  6. Step 6: Final answer
    x = 75,134.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.