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Finding the Third Proportional to 17,557 and 39,005

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Solution

The third proportional to 17,557 and 39,005 is: 86,654.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,557 : 39,005 = 39,005 : x
  2. Step 2: Convert to fraction form
    17,557/39,005 = 39,005/x
  3. Step 3: Cross multiply
    17,557x = 39,005 × 39,005
  4. Step 4: Simplify right side
    17,557x = 1,521,390,025
  5. Step 5: Solve for x
    x = 1,521,390,025/17,557
  6. Step 6: Final answer
    x = 86,654.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.