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Finding the Third Proportional to 45,964.97 and 70,283.95

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Solution

The third proportional to 45,964.97 and 70,283.95 is: 107,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,964.97 : 70,283.95 = 70,283.95 : x
  2. Step 2: Convert to fraction form
    45,964.97/70,283.95 = 70,283.95/x
  3. Step 3: Cross multiply
    45,964.97x = 70,283.95 × 70,283.95
  4. Step 4: Simplify right side
    45,964.97x = 4,939,834,066.88
  5. Step 5: Solve for x
    x = 4,939,834,066.88/45,964.97
  6. Step 6: Final answer
    x = 107,469.54

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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.