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Finding the Third Proportional to 1,806.84 and 2,710.26

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Solution

The third proportional to 1,806.84 and 2,710.26 is: 4,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.84 : 2,710.26 = 2,710.26 : x
  2. Step 2: Convert to fraction form
    1,806.84/2,710.26 = 2,710.26/x
  3. Step 3: Cross multiply
    1,806.84x = 2,710.26 × 2,710.26
  4. Step 4: Simplify right side
    1,806.84x = 7,345,492.12
  5. Step 5: Solve for x
    x = 7,345,492.12/1,806.84
  6. Step 6: Final answer
    x = 4,065.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.