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Finding the Third Proportional to 1,567.69 and 3,374.72

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Solution

The third proportional to 1,567.69 and 3,374.72 is: 7,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.69 : 3,374.72 = 3,374.72 : x
  2. Step 2: Convert to fraction form
    1,567.69/3,374.72 = 3,374.72/x
  3. Step 3: Cross multiply
    1,567.69x = 3,374.72 × 3,374.72
  4. Step 4: Simplify right side
    1,567.69x = 11,388,726.64
  5. Step 5: Solve for x
    x = 11,388,726.64/1,567.69
  6. Step 6: Final answer
    x = 7,264.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.