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Finding the Third Proportional to 14,814.50 and 31,371.75

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Solution

The third proportional to 14,814.50 and 31,371.75 is: 66,434.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.50 : 31,371.75 = 31,371.75 : x
  2. Step 2: Convert to fraction form
    14,814.50/31,371.75 = 31,371.75/x
  3. Step 3: Cross multiply
    14,814.50x = 31,371.75 × 31,371.75
  4. Step 4: Simplify right side
    14,814.50x = 984,186,698.06
  5. Step 5: Solve for x
    x = 984,186,698.06/14,814.50
  6. Step 6: Final answer
    x = 66,434.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.