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Finding the Third Proportional to 27,189.42 and 42,014.32

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Solution

The third proportional to 27,189.42 and 42,014.32 is: 64,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,189.42 : 42,014.32 = 42,014.32 : x
  2. Step 2: Convert to fraction form
    27,189.42/42,014.32 = 42,014.32/x
  3. Step 3: Cross multiply
    27,189.42x = 42,014.32 × 42,014.32
  4. Step 4: Simplify right side
    27,189.42x = 1,765,203,111.32
  5. Step 5: Solve for x
    x = 1,765,203,111.32/27,189.42
  6. Step 6: Final answer
    x = 64,922.42

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