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Finding the Third Proportional to 15,285 and 35,673

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Solution

The third proportional to 15,285 and 35,673 is: 83,255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,285 : 35,673 = 35,673 : x
  2. Step 2: Convert to fraction form
    15,285/35,673 = 35,673/x
  3. Step 3: Cross multiply
    15,285x = 35,673 × 35,673
  4. Step 4: Simplify right side
    15,285x = 1,272,562,929
  5. Step 5: Solve for x
    x = 1,272,562,929/15,285
  6. Step 6: Final answer
    x = 83,255.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.