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Finding the Third Proportional to 4,964 and 8,174

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Solution

The third proportional to 4,964 and 8,174 is: 13,459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964 : 8,174 = 8,174 : x
  2. Step 2: Convert to fraction form
    4,964/8,174 = 8,174/x
  3. Step 3: Cross multiply
    4,964x = 8,174 × 8,174
  4. Step 4: Simplify right side
    4,964x = 66,814,276
  5. Step 5: Solve for x
    x = 66,814,276/4,964
  6. Step 6: Final answer
    x = 13,459.77

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.