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Finding the Third Proportional to 26,406 and 38,985

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Solution

The third proportional to 26,406 and 38,985 is: 57,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,406 : 38,985 = 38,985 : x
  2. Step 2: Convert to fraction form
    26,406/38,985 = 38,985/x
  3. Step 3: Cross multiply
    26,406x = 38,985 × 38,985
  4. Step 4: Simplify right side
    26,406x = 1,519,830,225
  5. Step 5: Solve for x
    x = 1,519,830,225/26,406
  6. Step 6: Final answer
    x = 57,556.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.