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Finding the Third Proportional to 21,314 and 31,200

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Solution

The third proportional to 21,314 and 31,200 is: 45,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314 : 31,200 = 31,200 : x
  2. Step 2: Convert to fraction form
    21,314/31,200 = 31,200/x
  3. Step 3: Cross multiply
    21,314x = 31,200 × 31,200
  4. Step 4: Simplify right side
    21,314x = 973,440,000
  5. Step 5: Solve for x
    x = 973,440,000/21,314
  6. Step 6: Final answer
    x = 45,671.39

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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.