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Finding the Third Proportional to 27,045 and 57,989.25

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Solution

The third proportional to 27,045 and 57,989.25 is: 124,339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,045 : 57,989.25 = 57,989.25 : x
  2. Step 2: Convert to fraction form
    27,045/57,989.25 = 57,989.25/x
  3. Step 3: Cross multiply
    27,045x = 57,989.25 × 57,989.25
  4. Step 4: Simplify right side
    27,045x = 3,362,753,115.56
  5. Step 5: Solve for x
    x = 3,362,753,115.56/27,045
  6. Step 6: Final answer
    x = 124,339.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.