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Finding the Third Proportional to 27,598.22 and 42,471.84

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Solution

The third proportional to 27,598.22 and 42,471.84 is: 65,361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,598.22 : 42,471.84 = 42,471.84 : x
  2. Step 2: Convert to fraction form
    27,598.22/42,471.84 = 42,471.84/x
  3. Step 3: Cross multiply
    27,598.22x = 42,471.84 × 42,471.84
  4. Step 4: Simplify right side
    27,598.22x = 1,803,857,511.52
  5. Step 5: Solve for x
    x = 1,803,857,511.52/27,598.22
  6. Step 6: Final answer
    x = 65,361.37

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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.