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Finding the Third Proportional to 16,009 and 34,390

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Solution

The third proportional to 16,009 and 34,390 is: 73,875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009 : 34,390 = 34,390 : x
  2. Step 2: Convert to fraction form
    16,009/34,390 = 34,390/x
  3. Step 3: Cross multiply
    16,009x = 34,390 × 34,390
  4. Step 4: Simplify right side
    16,009x = 1,182,672,100
  5. Step 5: Solve for x
    x = 1,182,672,100/16,009
  6. Step 6: Final answer
    x = 73,875.45

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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.