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Finding the Third Proportional to 45,634.50 and 70,107.75

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Solution

The third proportional to 45,634.50 and 70,107.75 is: 107,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,634.50 : 70,107.75 = 70,107.75 : x
  2. Step 2: Convert to fraction form
    45,634.50/70,107.75 = 70,107.75/x
  3. Step 3: Cross multiply
    45,634.50x = 70,107.75 × 70,107.75
  4. Step 4: Simplify right side
    45,634.50x = 4,915,096,610.06
  5. Step 5: Solve for x
    x = 4,915,096,610.06/45,634.50
  6. Step 6: Final answer
    x = 107,705.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.