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Finding the Third Proportional to 38,964 and 85,296

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Solution

The third proportional to 38,964 and 85,296 is: 186,721.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,964 : 85,296 = 85,296 : x
  2. Step 2: Convert to fraction form
    38,964/85,296 = 85,296/x
  3. Step 3: Cross multiply
    38,964x = 85,296 × 85,296
  4. Step 4: Simplify right side
    38,964x = 7,275,407,616
  5. Step 5: Solve for x
    x = 7,275,407,616/38,964
  6. Step 6: Final answer
    x = 186,721.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.