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Finding the Third Proportional to 44,284.22 and 66,794.63

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Solution

The third proportional to 44,284.22 and 66,794.63 is: 100,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,284.22 : 66,794.63 = 66,794.63 : x
  2. Step 2: Convert to fraction form
    44,284.22/66,794.63 = 66,794.63/x
  3. Step 3: Cross multiply
    44,284.22x = 66,794.63 × 66,794.63
  4. Step 4: Simplify right side
    44,284.22x = 4,461,521,928.89
  5. Step 5: Solve for x
    x = 4,461,521,928.89/44,284.22
  6. Step 6: Final answer
    x = 100,747.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.