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Finding the Third Proportional to 44,289 and 73,815

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Solution

The third proportional to 44,289 and 73,815 is: 123,025

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,289 : 73,815 = 73,815 : x
  2. Step 2: Convert to fraction form
    44,289/73,815 = 73,815/x
  3. Step 3: Cross multiply
    44,289x = 73,815 × 73,815
  4. Step 4: Simplify right side
    44,289x = 5,448,654,225
  5. Step 5: Solve for x
    x = 5,448,654,225/44,289
  6. Step 6: Final answer
    x = 123,025

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.