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Finding the Third Proportional to 4,191 and 4,641

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Solution

The third proportional to 4,191 and 4,641 is: 5,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191 : 4,641 = 4,641 : x
  2. Step 2: Convert to fraction form
    4,191/4,641 = 4,641/x
  3. Step 3: Cross multiply
    4,191x = 4,641 × 4,641
  4. Step 4: Simplify right side
    4,191x = 21,538,881
  5. Step 5: Solve for x
    x = 21,538,881/4,191
  6. Step 6: Final answer
    x = 5,139.32

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.