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Finding the Third Proportional to 40,332 and 64,064

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Solution

The third proportional to 40,332 and 64,064 is: 101,760.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,332 : 64,064 = 64,064 : x
  2. Step 2: Convert to fraction form
    40,332/64,064 = 64,064/x
  3. Step 3: Cross multiply
    40,332x = 64,064 × 64,064
  4. Step 4: Simplify right side
    40,332x = 4,104,196,096
  5. Step 5: Solve for x
    x = 4,104,196,096/40,332
  6. Step 6: Final answer
    x = 101,760.29

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