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Finding the Third Proportional to 1,904.95 and 3,665.73

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Solution

The third proportional to 1,904.95 and 3,665.73 is: 7,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.95 : 3,665.73 = 3,665.73 : x
  2. Step 2: Convert to fraction form
    1,904.95/3,665.73 = 3,665.73/x
  3. Step 3: Cross multiply
    1,904.95x = 3,665.73 × 3,665.73
  4. Step 4: Simplify right side
    1,904.95x = 13,437,609.40
  5. Step 5: Solve for x
    x = 13,437,609.40/1,904.95
  6. Step 6: Final answer
    x = 7,054.05

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.