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Finding the Third Proportional to 23,101.13 and 54,813.38

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Solution

The third proportional to 23,101.13 and 54,813.38 is: 130,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.13 : 54,813.38 = 54,813.38 : x
  2. Step 2: Convert to fraction form
    23,101.13/54,813.38 = 54,813.38/x
  3. Step 3: Cross multiply
    23,101.13x = 54,813.38 × 54,813.38
  4. Step 4: Simplify right side
    23,101.13x = 3,004,506,078.89
  5. Step 5: Solve for x
    x = 3,004,506,078.89/23,101.13
  6. Step 6: Final answer
    x = 130,058.86

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.