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Finding the Third Proportional to 1,225.78 and 1,870.73

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Solution

The third proportional to 1,225.78 and 1,870.73 is: 2,855.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.78 : 1,870.73 = 1,870.73 : x
  2. Step 2: Convert to fraction form
    1,225.78/1,870.73 = 1,870.73/x
  3. Step 3: Cross multiply
    1,225.78x = 1,870.73 × 1,870.73
  4. Step 4: Simplify right side
    1,225.78x = 3,499,647.10
  5. Step 5: Solve for x
    x = 3,499,647.10/1,225.78
  6. Step 6: Final answer
    x = 2,855.03

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.