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Finding the Third Proportional to 35,624 and 76,964

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Solution

The third proportional to 35,624 and 76,964 is: 166,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,624 : 76,964 = 76,964 : x
  2. Step 2: Convert to fraction form
    35,624/76,964 = 76,964/x
  3. Step 3: Cross multiply
    35,624x = 76,964 × 76,964
  4. Step 4: Simplify right side
    35,624x = 5,923,457,296
  5. Step 5: Solve for x
    x = 5,923,457,296/35,624
  6. Step 6: Final answer
    x = 166,277.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.