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Finding the Third Proportional to 16,971.50 and 37,289

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Solution

The third proportional to 16,971.50 and 37,289 is: 81,929.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.50 : 37,289 = 37,289 : x
  2. Step 2: Convert to fraction form
    16,971.50/37,289 = 37,289/x
  3. Step 3: Cross multiply
    16,971.50x = 37,289 × 37,289
  4. Step 4: Simplify right side
    16,971.50x = 1,390,469,521
  5. Step 5: Solve for x
    x = 1,390,469,521/16,971.50
  6. Step 6: Final answer
    x = 81,929.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.