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Finding the Third Proportional to 43,071 and 64,608

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Solution

The third proportional to 43,071 and 64,608 is: 96,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,071 : 64,608 = 64,608 : x
  2. Step 2: Convert to fraction form
    43,071/64,608 = 64,608/x
  3. Step 3: Cross multiply
    43,071x = 64,608 × 64,608
  4. Step 4: Simplify right side
    43,071x = 4,174,193,664
  5. Step 5: Solve for x
    x = 4,174,193,664/43,071
  6. Step 6: Final answer
    x = 96,914.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.