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Finding the Third Proportional to 30,106.13 and 62,034.56

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Solution

The third proportional to 30,106.13 and 62,034.56 is: 127,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.13 : 62,034.56 = 62,034.56 : x
  2. Step 2: Convert to fraction form
    30,106.13/62,034.56 = 62,034.56/x
  3. Step 3: Cross multiply
    30,106.13x = 62,034.56 × 62,034.56
  4. Step 4: Simplify right side
    30,106.13x = 3,848,286,944.57
  5. Step 5: Solve for x
    x = 3,848,286,944.57/30,106.13
  6. Step 6: Final answer
    x = 127,824.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.