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Finding the Third Proportional to 14,098 and 30,627

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Solution

The third proportional to 14,098 and 30,627 is: 66,535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098 : 30,627 = 30,627 : x
  2. Step 2: Convert to fraction form
    14,098/30,627 = 30,627/x
  3. Step 3: Cross multiply
    14,098x = 30,627 × 30,627
  4. Step 4: Simplify right side
    14,098x = 938,013,129
  5. Step 5: Solve for x
    x = 938,013,129/14,098
  6. Step 6: Final answer
    x = 66,535.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.