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Finding the Third Proportional to 15,458 and 33,106

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Solution

The third proportional to 15,458 and 33,106 is: 70,902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,458 : 33,106 = 33,106 : x
  2. Step 2: Convert to fraction form
    15,458/33,106 = 33,106/x
  3. Step 3: Cross multiply
    15,458x = 33,106 × 33,106
  4. Step 4: Simplify right side
    15,458x = 1,096,007,236
  5. Step 5: Solve for x
    x = 1,096,007,236/15,458
  6. Step 6: Final answer
    x = 70,902.27

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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.