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Finding the Third Proportional to 3,840 and 5,417

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Solution

The third proportional to 3,840 and 5,417 is: 7,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840 : 5,417 = 5,417 : x
  2. Step 2: Convert to fraction form
    3,840/5,417 = 5,417/x
  3. Step 3: Cross multiply
    3,840x = 5,417 × 5,417
  4. Step 4: Simplify right side
    3,840x = 29,343,889
  5. Step 5: Solve for x
    x = 29,343,889/3,840
  6. Step 6: Final answer
    x = 7,641.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.