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Finding the Third Proportional to 16,007.63 and 34,141.50

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Solution

The third proportional to 16,007.63 and 34,141.50 is: 72,817.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.63 : 34,141.50 = 34,141.50 : x
  2. Step 2: Convert to fraction form
    16,007.63/34,141.50 = 34,141.50/x
  3. Step 3: Cross multiply
    16,007.63x = 34,141.50 × 34,141.50
  4. Step 4: Simplify right side
    16,007.63x = 1,165,642,022.25
  5. Step 5: Solve for x
    x = 1,165,642,022.25/16,007.63
  6. Step 6: Final answer
    x = 72,817.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.