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Finding the Third Proportional to 30,228.19 and 43,289.44

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Solution

The third proportional to 30,228.19 and 43,289.44 is: 61,994.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,228.19 : 43,289.44 = 43,289.44 : x
  2. Step 2: Convert to fraction form
    30,228.19/43,289.44 = 43,289.44/x
  3. Step 3: Cross multiply
    30,228.19x = 43,289.44 × 43,289.44
  4. Step 4: Simplify right side
    30,228.19x = 1,873,975,399.07
  5. Step 5: Solve for x
    x = 1,873,975,399.07/30,228.19
  6. Step 6: Final answer
    x = 61,994.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.