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Finding the Third Proportional to 38,326 and 58,887

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Solution

The third proportional to 38,326 and 58,887 is: 90,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,326 : 58,887 = 58,887 : x
  2. Step 2: Convert to fraction form
    38,326/58,887 = 58,887/x
  3. Step 3: Cross multiply
    38,326x = 58,887 × 58,887
  4. Step 4: Simplify right side
    38,326x = 3,467,678,769
  5. Step 5: Solve for x
    x = 3,467,678,769/38,326
  6. Step 6: Final answer
    x = 90,478.49

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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.