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Finding the Third Proportional to 16,970.50 and 37,262

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Solution

The third proportional to 16,970.50 and 37,262 is: 81,815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970.50 : 37,262 = 37,262 : x
  2. Step 2: Convert to fraction form
    16,970.50/37,262 = 37,262/x
  3. Step 3: Cross multiply
    16,970.50x = 37,262 × 37,262
  4. Step 4: Simplify right side
    16,970.50x = 1,388,456,644
  5. Step 5: Solve for x
    x = 1,388,456,644/16,970.50
  6. Step 6: Final answer
    x = 81,815.89

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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.