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Finding the Third Proportional to 1,239.19 and 1,870.31

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Solution

The third proportional to 1,239.19 and 1,870.31 is: 2,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.19 : 1,870.31 = 1,870.31 : x
  2. Step 2: Convert to fraction form
    1,239.19/1,870.31 = 1,870.31/x
  3. Step 3: Cross multiply
    1,239.19x = 1,870.31 × 1,870.31
  4. Step 4: Simplify right side
    1,239.19x = 3,498,068.85
  5. Step 5: Solve for x
    x = 3,498,068.85/1,239.19
  6. Step 6: Final answer
    x = 2,822.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.