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Finding the Third Proportional to 16,971.19 and 36,898.03

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Solution

The third proportional to 16,971.19 and 36,898.03 is: 80,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.19 : 36,898.03 = 36,898.03 : x
  2. Step 2: Convert to fraction form
    16,971.19/36,898.03 = 36,898.03/x
  3. Step 3: Cross multiply
    16,971.19x = 36,898.03 × 36,898.03
  4. Step 4: Simplify right side
    16,971.19x = 1,361,464,710.13
  5. Step 5: Solve for x
    x = 1,361,464,710.13/16,971.19
  6. Step 6: Final answer
    x = 80,222.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.