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Finding the Third Proportional to 17,379 and 42,007.50

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Solution

The third proportional to 17,379 and 42,007.50 is: 101,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,379 : 42,007.50 = 42,007.50 : x
  2. Step 2: Convert to fraction form
    17,379/42,007.50 = 42,007.50/x
  3. Step 3: Cross multiply
    17,379x = 42,007.50 × 42,007.50
  4. Step 4: Simplify right side
    17,379x = 1,764,630,056.25
  5. Step 5: Solve for x
    x = 1,764,630,056.25/17,379
  6. Step 6: Final answer
    x = 101,538.07

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.