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Finding the Third Proportional to 5,674 and 7,417

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Solution

The third proportional to 5,674 and 7,417 is: 9,695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674 : 7,417 = 7,417 : x
  2. Step 2: Convert to fraction form
    5,674/7,417 = 7,417/x
  3. Step 3: Cross multiply
    5,674x = 7,417 × 7,417
  4. Step 4: Simplify right side
    5,674x = 55,011,889
  5. Step 5: Solve for x
    x = 55,011,889/5,674
  6. Step 6: Final answer
    x = 9,695.43

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.