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Finding the Third Proportional to 14,434 and 30,955

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Solution

The third proportional to 14,434 and 30,955 is: 66,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434 : 30,955 = 30,955 : x
  2. Step 2: Convert to fraction form
    14,434/30,955 = 30,955/x
  3. Step 3: Cross multiply
    14,434x = 30,955 × 30,955
  4. Step 4: Simplify right side
    14,434x = 958,212,025
  5. Step 5: Solve for x
    x = 958,212,025/14,434
  6. Step 6: Final answer
    x = 66,385.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.