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Finding the Third Proportional to 27,138.16 and 58,918.01

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Solution

The third proportional to 27,138.16 and 58,918.01 is: 127,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138.16 : 58,918.01 = 58,918.01 : x
  2. Step 2: Convert to fraction form
    27,138.16/58,918.01 = 58,918.01/x
  3. Step 3: Cross multiply
    27,138.16x = 58,918.01 × 58,918.01
  4. Step 4: Simplify right side
    27,138.16x = 3,471,331,644.59
  5. Step 5: Solve for x
    x = 3,471,331,644.59/27,138.16
  6. Step 6: Final answer
    x = 127,913.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.