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Finding the Third Proportional to 41,941.50 and 63,523.13

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Solution

The third proportional to 41,941.50 and 63,523.13 is: 96,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,941.50 : 63,523.13 = 63,523.13 : x
  2. Step 2: Convert to fraction form
    41,941.50/63,523.13 = 63,523.13/x
  3. Step 3: Cross multiply
    41,941.50x = 63,523.13 × 63,523.13
  4. Step 4: Simplify right side
    41,941.50x = 4,035,187,409.77
  5. Step 5: Solve for x
    x = 4,035,187,409.77/41,941.50
  6. Step 6: Final answer
    x = 96,209.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.