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Finding the Third Proportional to 1,870.91 and 2,844.81

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Solution

The third proportional to 1,870.91 and 2,844.81 is: 4,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.91 : 2,844.81 = 2,844.81 : x
  2. Step 2: Convert to fraction form
    1,870.91/2,844.81 = 2,844.81/x
  3. Step 3: Cross multiply
    1,870.91x = 2,844.81 × 2,844.81
  4. Step 4: Simplify right side
    1,870.91x = 8,092,935.94
  5. Step 5: Solve for x
    x = 8,092,935.94/1,870.91
  6. Step 6: Final answer
    x = 4,325.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.