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Finding the Third Proportional to 1,840.08 and 2,448.70

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Solution

The third proportional to 1,840.08 and 2,448.70 is: 3,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.08 : 2,448.70 = 2,448.70 : x
  2. Step 2: Convert to fraction form
    1,840.08/2,448.70 = 2,448.70/x
  3. Step 3: Cross multiply
    1,840.08x = 2,448.70 × 2,448.70
  4. Step 4: Simplify right side
    1,840.08x = 5,996,146.99
  5. Step 5: Solve for x
    x = 5,996,146.99/1,840.08
  6. Step 6: Final answer
    x = 3,258.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.