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Finding the Third Proportional to 16,106 and 34,595

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Solution

The third proportional to 16,106 and 34,595 is: 74,308.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106 : 34,595 = 34,595 : x
  2. Step 2: Convert to fraction form
    16,106/34,595 = 34,595/x
  3. Step 3: Cross multiply
    16,106x = 34,595 × 34,595
  4. Step 4: Simplify right side
    16,106x = 1,196,814,025
  5. Step 5: Solve for x
    x = 1,196,814,025/16,106
  6. Step 6: Final answer
    x = 74,308.58

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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.