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Finding the Third Proportional to 39,228 and 85,008

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Solution

The third proportional to 39,228 and 85,008 is: 184,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,228 : 85,008 = 85,008 : x
  2. Step 2: Convert to fraction form
    39,228/85,008 = 85,008/x
  3. Step 3: Cross multiply
    39,228x = 85,008 × 85,008
  4. Step 4: Simplify right side
    39,228x = 7,226,360,064
  5. Step 5: Solve for x
    x = 7,226,360,064/39,228
  6. Step 6: Final answer
    x = 184,214.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.