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Finding the Third Proportional to 15,334 and 21,588

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Solution

The third proportional to 15,334 and 21,588 is: 30,392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,334 : 21,588 = 21,588 : x
  2. Step 2: Convert to fraction form
    15,334/21,588 = 21,588/x
  3. Step 3: Cross multiply
    15,334x = 21,588 × 21,588
  4. Step 4: Simplify right side
    15,334x = 466,041,744
  5. Step 5: Solve for x
    x = 466,041,744/15,334
  6. Step 6: Final answer
    x = 30,392.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.