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Finding the Third Proportional to 30,106.69 and 61,041.09

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Solution

The third proportional to 30,106.69 and 61,041.09 is: 123,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.69 : 61,041.09 = 61,041.09 : x
  2. Step 2: Convert to fraction form
    30,106.69/61,041.09 = 61,041.09/x
  3. Step 3: Cross multiply
    30,106.69x = 61,041.09 × 61,041.09
  4. Step 4: Simplify right side
    30,106.69x = 3,726,015,126.20
  5. Step 5: Solve for x
    x = 3,726,015,126.20/30,106.69
  6. Step 6: Final answer
    x = 123,760.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.