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Finding the Third Proportional to 33,000 and 77,818.50

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Solution

The third proportional to 33,000 and 77,818.50 is: 183,506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,000 : 77,818.50 = 77,818.50 : x
  2. Step 2: Convert to fraction form
    33,000/77,818.50 = 77,818.50/x
  3. Step 3: Cross multiply
    33,000x = 77,818.50 × 77,818.50
  4. Step 4: Simplify right side
    33,000x = 6,055,718,942.25
  5. Step 5: Solve for x
    x = 6,055,718,942.25/33,000
  6. Step 6: Final answer
    x = 183,506.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.