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Finding the Third Proportional to 30,207.94 and 61,441.03

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Solution

The third proportional to 30,207.94 and 61,441.03 is: 124,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207.94 : 61,441.03 = 61,441.03 : x
  2. Step 2: Convert to fraction form
    30,207.94/61,441.03 = 61,441.03/x
  3. Step 3: Cross multiply
    30,207.94x = 61,441.03 × 61,441.03
  4. Step 4: Simplify right side
    30,207.94x = 3,775,000,321.06
  5. Step 5: Solve for x
    x = 3,775,000,321.06/30,207.94
  6. Step 6: Final answer
    x = 124,967.17

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