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Finding the Third Proportional to 1,506.09 and 3,315.94

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Solution

The third proportional to 1,506.09 and 3,315.94 is: 7,300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.09 : 3,315.94 = 3,315.94 : x
  2. Step 2: Convert to fraction form
    1,506.09/3,315.94 = 3,315.94/x
  3. Step 3: Cross multiply
    1,506.09x = 3,315.94 × 3,315.94
  4. Step 4: Simplify right side
    1,506.09x = 10,995,441.50
  5. Step 5: Solve for x
    x = 10,995,441.50/1,506.09
  6. Step 6: Final answer
    x = 7,300.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.