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Finding the Third Proportional to 45,914.66 and 70,949.83

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Solution

The third proportional to 45,914.66 and 70,949.83 is: 109,635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,914.66 : 70,949.83 = 70,949.83 : x
  2. Step 2: Convert to fraction form
    45,914.66/70,949.83 = 70,949.83/x
  3. Step 3: Cross multiply
    45,914.66x = 70,949.83 × 70,949.83
  4. Step 4: Simplify right side
    45,914.66x = 5,033,878,388.11
  5. Step 5: Solve for x
    x = 5,033,878,388.11/45,914.66
  6. Step 6: Final answer
    x = 109,635.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.