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Finding the Third Proportional to 2,191 and 4,791

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Solution

The third proportional to 2,191 and 4,791 is: 10,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191 : 4,791 = 4,791 : x
  2. Step 2: Convert to fraction form
    2,191/4,791 = 4,791/x
  3. Step 3: Cross multiply
    2,191x = 4,791 × 4,791
  4. Step 4: Simplify right side
    2,191x = 22,953,681
  5. Step 5: Solve for x
    x = 22,953,681/2,191
  6. Step 6: Final answer
    x = 10,476.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.