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Finding the Third Proportional to 8,596 and 13,135

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Solution

The third proportional to 8,596 and 13,135 is: 20,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596 : 13,135 = 13,135 : x
  2. Step 2: Convert to fraction form
    8,596/13,135 = 13,135/x
  3. Step 3: Cross multiply
    8,596x = 13,135 × 13,135
  4. Step 4: Simplify right side
    8,596x = 172,528,225
  5. Step 5: Solve for x
    x = 172,528,225/8,596
  6. Step 6: Final answer
    x = 20,070.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.