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Finding the Third Proportional to 14,328 and 31,300

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Solution

The third proportional to 14,328 and 31,300 is: 68,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,328 : 31,300 = 31,300 : x
  2. Step 2: Convert to fraction form
    14,328/31,300 = 31,300/x
  3. Step 3: Cross multiply
    14,328x = 31,300 × 31,300
  4. Step 4: Simplify right side
    14,328x = 979,690,000
  5. Step 5: Solve for x
    x = 979,690,000/14,328
  6. Step 6: Final answer
    x = 68,375.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.