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Finding the Third Proportional to 19,164 and 29,151

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Solution

The third proportional to 19,164 and 29,151 is: 44,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,164 : 29,151 = 29,151 : x
  2. Step 2: Convert to fraction form
    19,164/29,151 = 29,151/x
  3. Step 3: Cross multiply
    19,164x = 29,151 × 29,151
  4. Step 4: Simplify right side
    19,164x = 849,780,801
  5. Step 5: Solve for x
    x = 849,780,801/19,164
  6. Step 6: Final answer
    x = 44,342.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.