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Finding the Third Proportional to 820.76 and 1,823.77

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Solution

The third proportional to 820.76 and 1,823.77 is: 4,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.76 : 1,823.77 = 1,823.77 : x
  2. Step 2: Convert to fraction form
    820.76/1,823.77 = 1,823.77/x
  3. Step 3: Cross multiply
    820.76x = 1,823.77 × 1,823.77
  4. Step 4: Simplify right side
    820.76x = 3,326,121.05
  5. Step 5: Solve for x
    x = 3,326,121.05/820.76
  6. Step 6: Final answer
    x = 4,052.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.