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Finding the Third Proportional to 26,132.63 and 57,155.63

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Solution

The third proportional to 26,132.63 and 57,155.63 is: 125,007.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,132.63 : 57,155.63 = 57,155.63 : x
  2. Step 2: Convert to fraction form
    26,132.63/57,155.63 = 57,155.63/x
  3. Step 3: Cross multiply
    26,132.63x = 57,155.63 × 57,155.63
  4. Step 4: Simplify right side
    26,132.63x = 3,266,765,469.14
  5. Step 5: Solve for x
    x = 3,266,765,469.14/26,132.63
  6. Step 6: Final answer
    x = 125,007.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.