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Finding the Third Proportional to 41,457 and 64,305

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Solution

The third proportional to 41,457 and 64,305 is: 99,745.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,457 : 64,305 = 64,305 : x
  2. Step 2: Convert to fraction form
    41,457/64,305 = 64,305/x
  3. Step 3: Cross multiply
    41,457x = 64,305 × 64,305
  4. Step 4: Simplify right side
    41,457x = 4,135,133,025
  5. Step 5: Solve for x
    x = 4,135,133,025/41,457
  6. Step 6: Final answer
    x = 99,745.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.