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Finding the Third Proportional to 14,126 and 30,426

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Solution

The third proportional to 14,126 and 30,426 is: 65,534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,126 : 30,426 = 30,426 : x
  2. Step 2: Convert to fraction form
    14,126/30,426 = 30,426/x
  3. Step 3: Cross multiply
    14,126x = 30,426 × 30,426
  4. Step 4: Simplify right side
    14,126x = 925,741,476
  5. Step 5: Solve for x
    x = 925,741,476/14,126
  6. Step 6: Final answer
    x = 65,534.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.