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Finding the Third Proportional to 15,558 and 22,182

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Solution

The third proportional to 15,558 and 22,182 is: 31,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,558 : 22,182 = 22,182 : x
  2. Step 2: Convert to fraction form
    15,558/22,182 = 22,182/x
  3. Step 3: Cross multiply
    15,558x = 22,182 × 22,182
  4. Step 4: Simplify right side
    15,558x = 492,041,124
  5. Step 5: Solve for x
    x = 492,041,124/15,558
  6. Step 6: Final answer
    x = 31,626.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.