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Finding the Third Proportional to 19,054 and 29,311

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Solution

The third proportional to 19,054 and 29,311 is: 45,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,054 : 29,311 = 29,311 : x
  2. Step 2: Convert to fraction form
    19,054/29,311 = 29,311/x
  3. Step 3: Cross multiply
    19,054x = 29,311 × 29,311
  4. Step 4: Simplify right side
    19,054x = 859,134,721
  5. Step 5: Solve for x
    x = 859,134,721/19,054
  6. Step 6: Final answer
    x = 45,089.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.