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Finding the Third Proportional to 35,273 and 47,851

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Solution

The third proportional to 35,273 and 47,851 is: 64,914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,273 : 47,851 = 47,851 : x
  2. Step 2: Convert to fraction form
    35,273/47,851 = 47,851/x
  3. Step 3: Cross multiply
    35,273x = 47,851 × 47,851
  4. Step 4: Simplify right side
    35,273x = 2,289,718,201
  5. Step 5: Solve for x
    x = 2,289,718,201/35,273
  6. Step 6: Final answer
    x = 64,914.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.