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Finding the Third Proportional to 26,028 and 56,007

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Solution

The third proportional to 26,028 and 56,007 is: 120,515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,028 : 56,007 = 56,007 : x
  2. Step 2: Convert to fraction form
    26,028/56,007 = 56,007/x
  3. Step 3: Cross multiply
    26,028x = 56,007 × 56,007
  4. Step 4: Simplify right side
    26,028x = 3,136,784,049
  5. Step 5: Solve for x
    x = 3,136,784,049/26,028
  6. Step 6: Final answer
    x = 120,515.75

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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.