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Finding the Third Proportional to 14,282 and 21,338

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Solution

The third proportional to 14,282 and 21,338 is: 31,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282 : 21,338 = 21,338 : x
  2. Step 2: Convert to fraction form
    14,282/21,338 = 21,338/x
  3. Step 3: Cross multiply
    14,282x = 21,338 × 21,338
  4. Step 4: Simplify right side
    14,282x = 455,310,244
  5. Step 5: Solve for x
    x = 455,310,244/14,282
  6. Step 6: Final answer
    x = 31,880.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.