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Finding the Third Proportional to 30,977 and 45,163

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Solution

The third proportional to 30,977 and 45,163 is: 65,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,977 : 45,163 = 45,163 : x
  2. Step 2: Convert to fraction form
    30,977/45,163 = 45,163/x
  3. Step 3: Cross multiply
    30,977x = 45,163 × 45,163
  4. Step 4: Simplify right side
    30,977x = 2,039,696,569
  5. Step 5: Solve for x
    x = 2,039,696,569/30,977
  6. Step 6: Final answer
    x = 65,845.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.