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Finding the Third Proportional to 40,406.34 and 64,163.39

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Solution

The third proportional to 40,406.34 and 64,163.39 is: 101,888.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,406.34 : 64,163.39 = 64,163.39 : x
  2. Step 2: Convert to fraction form
    40,406.34/64,163.39 = 64,163.39/x
  3. Step 3: Cross multiply
    40,406.34x = 64,163.39 × 64,163.39
  4. Step 4: Simplify right side
    40,406.34x = 4,116,940,696.50
  5. Step 5: Solve for x
    x = 4,116,940,696.50/40,406.34
  6. Step 6: Final answer
    x = 101,888.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.