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Finding the Third Proportional to 42,016 and 56,064

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Solution

The third proportional to 42,016 and 56,064 is: 74,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,016 : 56,064 = 56,064 : x
  2. Step 2: Convert to fraction form
    42,016/56,064 = 56,064/x
  3. Step 3: Cross multiply
    42,016x = 56,064 × 56,064
  4. Step 4: Simplify right side
    42,016x = 3,143,172,096
  5. Step 5: Solve for x
    x = 3,143,172,096/42,016
  6. Step 6: Final answer
    x = 74,808.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.