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Finding the Third Proportional to 16,023 and 34,415

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Solution

The third proportional to 16,023 and 34,415 is: 73,918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023 : 34,415 = 34,415 : x
  2. Step 2: Convert to fraction form
    16,023/34,415 = 34,415/x
  3. Step 3: Cross multiply
    16,023x = 34,415 × 34,415
  4. Step 4: Simplify right side
    16,023x = 1,184,392,225
  5. Step 5: Solve for x
    x = 1,184,392,225/16,023
  6. Step 6: Final answer
    x = 73,918.26

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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.