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Finding the Third Proportional to 16,972.50 and 37,291

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Solution

The third proportional to 16,972.50 and 37,291 is: 81,933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,972.50 : 37,291 = 37,291 : x
  2. Step 2: Convert to fraction form
    16,972.50/37,291 = 37,291/x
  3. Step 3: Cross multiply
    16,972.50x = 37,291 × 37,291
  4. Step 4: Simplify right side
    16,972.50x = 1,390,618,681
  5. Step 5: Solve for x
    x = 1,390,618,681/16,972.50
  6. Step 6: Final answer
    x = 81,933.64

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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.