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Finding the Third Proportional to 14,102 and 30,562

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Solution

The third proportional to 14,102 and 30,562 is: 66,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102 : 30,562 = 30,562 : x
  2. Step 2: Convert to fraction form
    14,102/30,562 = 30,562/x
  3. Step 3: Cross multiply
    14,102x = 30,562 × 30,562
  4. Step 4: Simplify right side
    14,102x = 934,035,844
  5. Step 5: Solve for x
    x = 934,035,844/14,102
  6. Step 6: Final answer
    x = 66,234.28

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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.