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Finding the Third Proportional to 26,507 and 57,073

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Solution

The third proportional to 26,507 and 57,073 is: 122,885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,507 : 57,073 = 57,073 : x
  2. Step 2: Convert to fraction form
    26,507/57,073 = 57,073/x
  3. Step 3: Cross multiply
    26,507x = 57,073 × 57,073
  4. Step 4: Simplify right side
    26,507x = 3,257,327,329
  5. Step 5: Solve for x
    x = 3,257,327,329/26,507
  6. Step 6: Final answer
    x = 122,885.55

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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.