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Finding the Third Proportional to 38,292 and 58,843

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Solution

The third proportional to 38,292 and 58,843 is: 90,423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,292 : 58,843 = 58,843 : x
  2. Step 2: Convert to fraction form
    38,292/58,843 = 58,843/x
  3. Step 3: Cross multiply
    38,292x = 58,843 × 58,843
  4. Step 4: Simplify right side
    38,292x = 3,462,498,649
  5. Step 5: Solve for x
    x = 3,462,498,649/38,292
  6. Step 6: Final answer
    x = 90,423.55

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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.