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Finding the Third Proportional to 14,628 and 21,278

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Solution

The third proportional to 14,628 and 21,278 is: 30,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,628 : 21,278 = 21,278 : x
  2. Step 2: Convert to fraction form
    14,628/21,278 = 21,278/x
  3. Step 3: Cross multiply
    14,628x = 21,278 × 21,278
  4. Step 4: Simplify right side
    14,628x = 452,753,284
  5. Step 5: Solve for x
    x = 452,753,284/14,628
  6. Step 6: Final answer
    x = 30,951.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.