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Finding the Third Proportional to 27,321 and 42,194.25

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Solution

The third proportional to 27,321 and 42,194.25 is: 65,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,321 : 42,194.25 = 42,194.25 : x
  2. Step 2: Convert to fraction form
    27,321/42,194.25 = 42,194.25/x
  3. Step 3: Cross multiply
    27,321x = 42,194.25 × 42,194.25
  4. Step 4: Simplify right side
    27,321x = 1,780,354,733.06
  5. Step 5: Solve for x
    x = 1,780,354,733.06/27,321
  6. Step 6: Final answer
    x = 65,164.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.