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Finding the Third Proportional to 32,012 and 38,828

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Solution

The third proportional to 32,012 and 38,828 is: 47,095.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012 : 38,828 = 38,828 : x
  2. Step 2: Convert to fraction form
    32,012/38,828 = 38,828/x
  3. Step 3: Cross multiply
    32,012x = 38,828 × 38,828
  4. Step 4: Simplify right side
    32,012x = 1,507,613,584
  5. Step 5: Solve for x
    x = 1,507,613,584/32,012
  6. Step 6: Final answer
    x = 47,095.26

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.