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Finding the Third Proportional to 45,441 and 69,747.75

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Solution

The third proportional to 45,441 and 69,747.75 is: 107,056.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,441 : 69,747.75 = 69,747.75 : x
  2. Step 2: Convert to fraction form
    45,441/69,747.75 = 69,747.75/x
  3. Step 3: Cross multiply
    45,441x = 69,747.75 × 69,747.75
  4. Step 4: Simplify right side
    45,441x = 4,864,748,630.06
  5. Step 5: Solve for x
    x = 4,864,748,630.06/45,441
  6. Step 6: Final answer
    x = 107,056.37

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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.