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Finding the Third Proportional to 22,584.50 and 33,550

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Solution

The third proportional to 22,584.50 and 33,550 is: 49,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.50 : 33,550 = 33,550 : x
  2. Step 2: Convert to fraction form
    22,584.50/33,550 = 33,550/x
  3. Step 3: Cross multiply
    22,584.50x = 33,550 × 33,550
  4. Step 4: Simplify right side
    22,584.50x = 1,125,602,500
  5. Step 5: Solve for x
    x = 1,125,602,500/22,584.50
  6. Step 6: Final answer
    x = 49,839.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.