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Finding the Third Proportional to 1,000.41 and 2,182.78

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Solution

The third proportional to 1,000.41 and 2,182.78 is: 4,762.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.41 : 2,182.78 = 2,182.78 : x
  2. Step 2: Convert to fraction form
    1,000.41/2,182.78 = 2,182.78/x
  3. Step 3: Cross multiply
    1,000.41x = 2,182.78 × 2,182.78
  4. Step 4: Simplify right side
    1,000.41x = 4,764,533.99
  5. Step 5: Solve for x
    x = 4,764,533.99/1,000.41
  6. Step 6: Final answer
    x = 4,762.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.