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Finding the Third Proportional to 26,513 and 57,089

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Solution

The third proportional to 26,513 and 57,089 is: 122,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,513 : 57,089 = 57,089 : x
  2. Step 2: Convert to fraction form
    26,513/57,089 = 57,089/x
  3. Step 3: Cross multiply
    26,513x = 57,089 × 57,089
  4. Step 4: Simplify right side
    26,513x = 3,259,153,921
  5. Step 5: Solve for x
    x = 3,259,153,921/26,513
  6. Step 6: Final answer
    x = 122,926.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.