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Finding the Third Proportional to 30,998 and 66,964

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Solution

The third proportional to 30,998 and 66,964 is: 144,660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998 : 66,964 = 66,964 : x
  2. Step 2: Convert to fraction form
    30,998/66,964 = 66,964/x
  3. Step 3: Cross multiply
    30,998x = 66,964 × 66,964
  4. Step 4: Simplify right side
    30,998x = 4,484,177,296
  5. Step 5: Solve for x
    x = 4,484,177,296/30,998
  6. Step 6: Final answer
    x = 144,660.21

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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.