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Finding the Third Proportional to 14,152 and 19,151

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Solution

The third proportional to 14,152 and 19,151 is: 25,915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152 : 19,151 = 19,151 : x
  2. Step 2: Convert to fraction form
    14,152/19,151 = 19,151/x
  3. Step 3: Cross multiply
    14,152x = 19,151 × 19,151
  4. Step 4: Simplify right side
    14,152x = 366,760,801
  5. Step 5: Solve for x
    x = 366,760,801/14,152
  6. Step 6: Final answer
    x = 25,915.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.