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Finding the Third Proportional to 14,706 and 21,627

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Solution

The third proportional to 14,706 and 21,627 is: 31,805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706 : 21,627 = 21,627 : x
  2. Step 2: Convert to fraction form
    14,706/21,627 = 21,627/x
  3. Step 3: Cross multiply
    14,706x = 21,627 × 21,627
  4. Step 4: Simplify right side
    14,706x = 467,727,129
  5. Step 5: Solve for x
    x = 467,727,129/14,706
  6. Step 6: Final answer
    x = 31,805.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.