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Finding the Third Proportional to 4,079.25 and 8,509.88

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Solution

The third proportional to 4,079.25 and 8,509.88 is: 17,752.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,079.25 : 8,509.88 = 8,509.88 : x
  2. Step 2: Convert to fraction form
    4,079.25/8,509.88 = 8,509.88/x
  3. Step 3: Cross multiply
    4,079.25x = 8,509.88 × 8,509.88
  4. Step 4: Simplify right side
    4,079.25x = 72,417,972.52
  5. Step 5: Solve for x
    x = 72,417,972.52/4,079.25
  6. Step 6: Final answer
    x = 17,752.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.