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Finding the Third Proportional to 30,900 and 45,255

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Solution

The third proportional to 30,900 and 45,255 is: 66,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900 : 45,255 = 45,255 : x
  2. Step 2: Convert to fraction form
    30,900/45,255 = 45,255/x
  3. Step 3: Cross multiply
    30,900x = 45,255 × 45,255
  4. Step 4: Simplify right side
    30,900x = 2,048,015,025
  5. Step 5: Solve for x
    x = 2,048,015,025/30,900
  6. Step 6: Final answer
    x = 66,278.80

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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.