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Finding the Third Proportional to 7,855.59 and 16,519.08

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Solution

The third proportional to 7,855.59 and 16,519.08 is: 34,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.59 : 16,519.08 = 16,519.08 : x
  2. Step 2: Convert to fraction form
    7,855.59/16,519.08 = 16,519.08/x
  3. Step 3: Cross multiply
    7,855.59x = 16,519.08 × 16,519.08
  4. Step 4: Simplify right side
    7,855.59x = 272,879,942.10
  5. Step 5: Solve for x
    x = 272,879,942.10/7,855.59
  6. Step 6: Final answer
    x = 34,737.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.