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Finding the Third Proportional to 34,401 and 74,415

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Solution

The third proportional to 34,401 and 74,415 is: 160,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,401 : 74,415 = 74,415 : x
  2. Step 2: Convert to fraction form
    34,401/74,415 = 74,415/x
  3. Step 3: Cross multiply
    34,401x = 74,415 × 74,415
  4. Step 4: Simplify right side
    34,401x = 5,537,592,225
  5. Step 5: Solve for x
    x = 5,537,592,225/34,401
  6. Step 6: Final answer
    x = 160,971.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.