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Finding the Third Proportional to 38,854 and 85,484

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Solution

The third proportional to 38,854 and 85,484 is: 188,076.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,854 : 85,484 = 85,484 : x
  2. Step 2: Convert to fraction form
    38,854/85,484 = 85,484/x
  3. Step 3: Cross multiply
    38,854x = 85,484 × 85,484
  4. Step 4: Simplify right side
    38,854x = 7,307,514,256
  5. Step 5: Solve for x
    x = 7,307,514,256/38,854
  6. Step 6: Final answer
    x = 188,076.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.