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Finding the Third Proportional to 41,601 and 63,943.50

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Solution

The third proportional to 41,601 and 63,943.50 is: 98,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,601 : 63,943.50 = 63,943.50 : x
  2. Step 2: Convert to fraction form
    41,601/63,943.50 = 63,943.50/x
  3. Step 3: Cross multiply
    41,601x = 63,943.50 × 63,943.50
  4. Step 4: Simplify right side
    41,601x = 4,088,771,192.25
  5. Step 5: Solve for x
    x = 4,088,771,192.25/41,601
  6. Step 6: Final answer
    x = 98,285.41

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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.