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Finding the Third Proportional to 14,271 and 21,285

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Solution

The third proportional to 14,271 and 21,285 is: 31,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271 : 21,285 = 21,285 : x
  2. Step 2: Convert to fraction form
    14,271/21,285 = 21,285/x
  3. Step 3: Cross multiply
    14,271x = 21,285 × 21,285
  4. Step 4: Simplify right side
    14,271x = 453,051,225
  5. Step 5: Solve for x
    x = 453,051,225/14,271
  6. Step 6: Final answer
    x = 31,746.28

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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.