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Finding the Third Proportional to 4,926.45 and 5,775.05

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Solution

The third proportional to 4,926.45 and 5,775.05 is: 6,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.45 : 5,775.05 = 5,775.05 : x
  2. Step 2: Convert to fraction form
    4,926.45/5,775.05 = 5,775.05/x
  3. Step 3: Cross multiply
    4,926.45x = 5,775.05 × 5,775.05
  4. Step 4: Simplify right side
    4,926.45x = 33,351,166.41
  5. Step 5: Solve for x
    x = 33,351,166.41/4,926.45
  6. Step 6: Final answer
    x = 6,769.82

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.