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Finding the Third Proportional to 13,432 and 19,196

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Solution

The third proportional to 13,432 and 19,196 is: 27,433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432 : 19,196 = 19,196 : x
  2. Step 2: Convert to fraction form
    13,432/19,196 = 19,196/x
  3. Step 3: Cross multiply
    13,432x = 19,196 × 19,196
  4. Step 4: Simplify right side
    13,432x = 368,486,416
  5. Step 5: Solve for x
    x = 368,486,416/13,432
  6. Step 6: Final answer
    x = 27,433.47

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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.