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Finding the Third Proportional to 44,205 and 67,733

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Solution

The third proportional to 44,205 and 67,733 is: 103,783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,205 : 67,733 = 67,733 : x
  2. Step 2: Convert to fraction form
    44,205/67,733 = 67,733/x
  3. Step 3: Cross multiply
    44,205x = 67,733 × 67,733
  4. Step 4: Simplify right side
    44,205x = 4,587,759,289
  5. Step 5: Solve for x
    x = 4,587,759,289/44,205
  6. Step 6: Final answer
    x = 103,783.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.