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Finding the Third Proportional to 13,389 and 20,596.50

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Solution

The third proportional to 13,389 and 20,596.50 is: 31,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,389 : 20,596.50 = 20,596.50 : x
  2. Step 2: Convert to fraction form
    13,389/20,596.50 = 20,596.50/x
  3. Step 3: Cross multiply
    13,389x = 20,596.50 × 20,596.50
  4. Step 4: Simplify right side
    13,389x = 424,215,812.25
  5. Step 5: Solve for x
    x = 424,215,812.25/13,389
  6. Step 6: Final answer
    x = 31,683.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.