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Finding the Third Proportional to 27,300.38 and 42,408.56

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Solution

The third proportional to 27,300.38 and 42,408.56 is: 65,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300.38 : 42,408.56 = 42,408.56 : x
  2. Step 2: Convert to fraction form
    27,300.38/42,408.56 = 42,408.56/x
  3. Step 3: Cross multiply
    27,300.38x = 42,408.56 × 42,408.56
  4. Step 4: Simplify right side
    27,300.38x = 1,798,486,173.32
  5. Step 5: Solve for x
    x = 1,798,486,173.32/27,300.38
  6. Step 6: Final answer
    x = 65,877.71

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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.