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Finding the Third Proportional to 44,097.19 and 66,245.06

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Solution

The third proportional to 44,097.19 and 66,245.06 is: 99,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,097.19 : 66,245.06 = 66,245.06 : x
  2. Step 2: Convert to fraction form
    44,097.19/66,245.06 = 66,245.06/x
  3. Step 3: Cross multiply
    44,097.19x = 66,245.06 × 66,245.06
  4. Step 4: Simplify right side
    44,097.19x = 4,388,408,305.63
  5. Step 5: Solve for x
    x = 4,388,408,305.63/44,097.19
  6. Step 6: Final answer
    x = 99,516.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.