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Finding the Third Proportional to 16,984.69 and 39,963.94

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Solution

The third proportional to 16,984.69 and 39,963.94 is: 94,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,984.69 : 39,963.94 = 39,963.94 : x
  2. Step 2: Convert to fraction form
    16,984.69/39,963.94 = 39,963.94/x
  3. Step 3: Cross multiply
    16,984.69x = 39,963.94 × 39,963.94
  4. Step 4: Simplify right side
    16,984.69x = 1,597,116,300.50
  5. Step 5: Solve for x
    x = 1,597,116,300.50/16,984.69
  6. Step 6: Final answer
    x = 94,032.72

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.