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Finding the Third Proportional to 14,146 and 21,264

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Solution

The third proportional to 14,146 and 21,264 is: 31,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146 : 21,264 = 21,264 : x
  2. Step 2: Convert to fraction form
    14,146/21,264 = 21,264/x
  3. Step 3: Cross multiply
    14,146x = 21,264 × 21,264
  4. Step 4: Simplify right side
    14,146x = 452,157,696
  5. Step 5: Solve for x
    x = 452,157,696/14,146
  6. Step 6: Final answer
    x = 31,963.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.