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Finding the Third Proportional to 7,833 and 17,106

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Solution

The third proportional to 7,833 and 17,106 is: 37,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833 : 17,106 = 17,106 : x
  2. Step 2: Convert to fraction form
    7,833/17,106 = 17,106/x
  3. Step 3: Cross multiply
    7,833x = 17,106 × 17,106
  4. Step 4: Simplify right side
    7,833x = 292,615,236
  5. Step 5: Solve for x
    x = 292,615,236/7,833
  6. Step 6: Final answer
    x = 37,356.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.