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Finding the Third Proportional to 1,417 and 3,077

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Solution

The third proportional to 1,417 and 3,077 is: 6,681.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417 : 3,077 = 3,077 : x
  2. Step 2: Convert to fraction form
    1,417/3,077 = 3,077/x
  3. Step 3: Cross multiply
    1,417x = 3,077 × 3,077
  4. Step 4: Simplify right side
    1,417x = 9,467,929
  5. Step 5: Solve for x
    x = 9,467,929/1,417
  6. Step 6: Final answer
    x = 6,681.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.