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Finding the Third Proportional to 45,838.50 and 94,532.25

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Solution

The third proportional to 45,838.50 and 94,532.25 is: 194,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,838.50 : 94,532.25 = 94,532.25 : x
  2. Step 2: Convert to fraction form
    45,838.50/94,532.25 = 94,532.25/x
  3. Step 3: Cross multiply
    45,838.50x = 94,532.25 × 94,532.25
  4. Step 4: Simplify right side
    45,838.50x = 8,936,346,290.06
  5. Step 5: Solve for x
    x = 8,936,346,290.06/45,838.50
  6. Step 6: Final answer
    x = 194,952.85

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.