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Finding the Third Proportional to 30,975.75 and 48,336.75

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Solution

The third proportional to 30,975.75 and 48,336.75 is: 75,428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,975.75 : 48,336.75 = 48,336.75 : x
  2. Step 2: Convert to fraction form
    30,975.75/48,336.75 = 48,336.75/x
  3. Step 3: Cross multiply
    30,975.75x = 48,336.75 × 48,336.75
  4. Step 4: Simplify right side
    30,975.75x = 2,336,441,400.56
  5. Step 5: Solve for x
    x = 2,336,441,400.56/30,975.75
  6. Step 6: Final answer
    x = 75,428.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.