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Finding the Third Proportional to 30,344.63 and 66,225.09

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Solution

The third proportional to 30,344.63 and 66,225.09 is: 144,531.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,344.63 : 66,225.09 = 66,225.09 : x
  2. Step 2: Convert to fraction form
    30,344.63/66,225.09 = 66,225.09/x
  3. Step 3: Cross multiply
    30,344.63x = 66,225.09 × 66,225.09
  4. Step 4: Simplify right side
    30,344.63x = 4,385,763,042.20
  5. Step 5: Solve for x
    x = 4,385,763,042.20/30,344.63
  6. Step 6: Final answer
    x = 144,531.79

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