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Finding the Third Proportional to 5,678 and 8,417

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Solution

The third proportional to 5,678 and 8,417 is: 12,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678 : 8,417 = 8,417 : x
  2. Step 2: Convert to fraction form
    5,678/8,417 = 8,417/x
  3. Step 3: Cross multiply
    5,678x = 8,417 × 8,417
  4. Step 4: Simplify right side
    5,678x = 70,845,889
  5. Step 5: Solve for x
    x = 70,845,889/5,678
  6. Step 6: Final answer
    x = 12,477.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.