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Finding the Third Proportional to 2,114 and 4,967

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Solution

The third proportional to 2,114 and 4,967 is: 11,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114 : 4,967 = 4,967 : x
  2. Step 2: Convert to fraction form
    2,114/4,967 = 4,967/x
  3. Step 3: Cross multiply
    2,114x = 4,967 × 4,967
  4. Step 4: Simplify right side
    2,114x = 24,671,089
  5. Step 5: Solve for x
    x = 24,671,089/2,114
  6. Step 6: Final answer
    x = 11,670.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.