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Finding the Third Proportional to 28,000 and 37,360

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Solution

The third proportional to 28,000 and 37,360 is: 49,848.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,000 : 37,360 = 37,360 : x
  2. Step 2: Convert to fraction form
    28,000/37,360 = 37,360/x
  3. Step 3: Cross multiply
    28,000x = 37,360 × 37,360
  4. Step 4: Simplify right side
    28,000x = 1,395,769,600
  5. Step 5: Solve for x
    x = 1,395,769,600/28,000
  6. Step 6: Final answer
    x = 49,848.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.