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Finding the Third Proportional to 15,496 and 20,152

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Solution

The third proportional to 15,496 and 20,152 is: 26,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,496 : 20,152 = 20,152 : x
  2. Step 2: Convert to fraction form
    15,496/20,152 = 20,152/x
  3. Step 3: Cross multiply
    15,496x = 20,152 × 20,152
  4. Step 4: Simplify right side
    15,496x = 406,103,104
  5. Step 5: Solve for x
    x = 406,103,104/15,496
  6. Step 6: Final answer
    x = 26,206.96

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.