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Finding the Third Proportional to 64,929 and 82,965

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Solution

The third proportional to 64,929 and 82,965 is: 106,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,929 : 82,965 = 82,965 : x
  2. Step 2: Convert to fraction form
    64,929/82,965 = 82,965/x
  3. Step 3: Cross multiply
    64,929x = 82,965 × 82,965
  4. Step 4: Simplify right side
    64,929x = 6,883,191,225
  5. Step 5: Solve for x
    x = 6,883,191,225/64,929
  6. Step 6: Final answer
    x = 106,011.05

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.