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Finding the Third Proportional to 14,126 and 30,415

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Solution

The third proportional to 14,126 and 30,415 is: 65,487.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,126 : 30,415 = 30,415 : x
  2. Step 2: Convert to fraction form
    14,126/30,415 = 30,415/x
  3. Step 3: Cross multiply
    14,126x = 30,415 × 30,415
  4. Step 4: Simplify right side
    14,126x = 925,072,225
  5. Step 5: Solve for x
    x = 925,072,225/14,126
  6. Step 6: Final answer
    x = 65,487.20

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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.