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Finding the Third Proportional to 15,968 and 34,106

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Solution

The third proportional to 15,968 and 34,106 is: 72,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,968 : 34,106 = 34,106 : x
  2. Step 2: Convert to fraction form
    15,968/34,106 = 34,106/x
  3. Step 3: Cross multiply
    15,968x = 34,106 × 34,106
  4. Step 4: Simplify right side
    15,968x = 1,163,219,236
  5. Step 5: Solve for x
    x = 1,163,219,236/15,968
  6. Step 6: Final answer
    x = 72,846.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.