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Finding the Third Proportional to 41,583.38 and 98,247.94

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Solution

The third proportional to 41,583.38 and 98,247.94 is: 232,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,583.38 : 98,247.94 = 98,247.94 : x
  2. Step 2: Convert to fraction form
    41,583.38/98,247.94 = 98,247.94/x
  3. Step 3: Cross multiply
    41,583.38x = 98,247.94 × 98,247.94
  4. Step 4: Simplify right side
    41,583.38x = 9,652,657,223.00
  5. Step 5: Solve for x
    x = 9,652,657,223.00/41,583.38
  6. Step 6: Final answer
    x = 232,127.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.