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Finding the Third Proportional to 8,662.57 and 16,094.95

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Solution

The third proportional to 8,662.57 and 16,094.95 is: 29,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.57 : 16,094.95 = 16,094.95 : x
  2. Step 2: Convert to fraction form
    8,662.57/16,094.95 = 16,094.95/x
  3. Step 3: Cross multiply
    8,662.57x = 16,094.95 × 16,094.95
  4. Step 4: Simplify right side
    8,662.57x = 259,047,516.10
  5. Step 5: Solve for x
    x = 259,047,516.10/8,662.57
  6. Step 6: Final answer
    x = 29,904.23

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.