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Finding the Third Proportional to 41,951 and 64,811.50

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Solution

The third proportional to 41,951 and 64,811.50 is: 100,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,951 : 64,811.50 = 64,811.50 : x
  2. Step 2: Convert to fraction form
    41,951/64,811.50 = 64,811.50/x
  3. Step 3: Cross multiply
    41,951x = 64,811.50 × 64,811.50
  4. Step 4: Simplify right side
    41,951x = 4,200,530,532.25
  5. Step 5: Solve for x
    x = 4,200,530,532.25/41,951
  6. Step 6: Final answer
    x = 100,129.45

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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.