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Finding the Third Proportional to 4,457 and 7,969

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Solution

The third proportional to 4,457 and 7,969 is: 14,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457 : 7,969 = 7,969 : x
  2. Step 2: Convert to fraction form
    4,457/7,969 = 7,969/x
  3. Step 3: Cross multiply
    4,457x = 7,969 × 7,969
  4. Step 4: Simplify right side
    4,457x = 63,504,961
  5. Step 5: Solve for x
    x = 63,504,961/4,457
  6. Step 6: Final answer
    x = 14,248.36

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.