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Finding the Third Proportional to 41,025 and 96,790.50

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Solution

The third proportional to 41,025 and 96,790.50 is: 228,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,025 : 96,790.50 = 96,790.50 : x
  2. Step 2: Convert to fraction form
    41,025/96,790.50 = 96,790.50/x
  3. Step 3: Cross multiply
    41,025x = 96,790.50 × 96,790.50
  4. Step 4: Simplify right side
    41,025x = 9,368,400,890.25
  5. Step 5: Solve for x
    x = 9,368,400,890.25/41,025
  6. Step 6: Final answer
    x = 228,358.34

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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.