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Finding the Third Proportional to 33,277.50 and 48,627

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Solution

The third proportional to 33,277.50 and 48,627 is: 71,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,277.50 : 48,627 = 48,627 : x
  2. Step 2: Convert to fraction form
    33,277.50/48,627 = 48,627/x
  3. Step 3: Cross multiply
    33,277.50x = 48,627 × 48,627
  4. Step 4: Simplify right side
    33,277.50x = 2,364,585,129
  5. Step 5: Solve for x
    x = 2,364,585,129/33,277.50
  6. Step 6: Final answer
    x = 71,056.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.