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Finding the Third Proportional to 1,006.88 and 1,506.38

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Solution

The third proportional to 1,006.88 and 1,506.38 is: 2,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.88 : 1,506.38 = 1,506.38 : x
  2. Step 2: Convert to fraction form
    1,006.88/1,506.38 = 1,506.38/x
  3. Step 3: Cross multiply
    1,006.88x = 1,506.38 × 1,506.38
  4. Step 4: Simplify right side
    1,006.88x = 2,269,165.64
  5. Step 5: Solve for x
    x = 2,269,165.64/1,006.88
  6. Step 6: Final answer
    x = 2,253.67

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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.