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Finding the Third Proportional to 13,706 and 21,135

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Solution

The third proportional to 13,706 and 21,135 is: 32,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706 : 21,135 = 21,135 : x
  2. Step 2: Convert to fraction form
    13,706/21,135 = 21,135/x
  3. Step 3: Cross multiply
    13,706x = 21,135 × 21,135
  4. Step 4: Simplify right side
    13,706x = 446,688,225
  5. Step 5: Solve for x
    x = 446,688,225/13,706
  6. Step 6: Final answer
    x = 32,590.71

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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.