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Finding the Third Proportional to 4,095.75 and 8,803.88

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Solution

The third proportional to 4,095.75 and 8,803.88 is: 18,924.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.75 : 8,803.88 = 8,803.88 : x
  2. Step 2: Convert to fraction form
    4,095.75/8,803.88 = 8,803.88/x
  3. Step 3: Cross multiply
    4,095.75x = 8,803.88 × 8,803.88
  4. Step 4: Simplify right side
    4,095.75x = 77,508,215.02
  5. Step 5: Solve for x
    x = 77,508,215.02/4,095.75
  6. Step 6: Final answer
    x = 18,924.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.