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Finding the Third Proportional to 40,407.75 and 63,951.75

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Solution

The third proportional to 40,407.75 and 63,951.75 is: 101,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,407.75 : 63,951.75 = 63,951.75 : x
  2. Step 2: Convert to fraction form
    40,407.75/63,951.75 = 63,951.75/x
  3. Step 3: Cross multiply
    40,407.75x = 63,951.75 × 63,951.75
  4. Step 4: Simplify right side
    40,407.75x = 4,089,826,328.06
  5. Step 5: Solve for x
    x = 4,089,826,328.06/40,407.75
  6. Step 6: Final answer
    x = 101,213.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.