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Finding the Third Proportional to 45,604.50 and 64,176

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Solution

The third proportional to 45,604.50 and 64,176 is: 90,310.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,604.50 : 64,176 = 64,176 : x
  2. Step 2: Convert to fraction form
    45,604.50/64,176 = 64,176/x
  3. Step 3: Cross multiply
    45,604.50x = 64,176 × 64,176
  4. Step 4: Simplify right side
    45,604.50x = 4,118,558,976
  5. Step 5: Solve for x
    x = 4,118,558,976/45,604.50
  6. Step 6: Final answer
    x = 90,310.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.