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Finding the Third Proportional to 32,838 and 49,644

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Solution

The third proportional to 32,838 and 49,644 is: 75,051.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838 : 49,644 = 49,644 : x
  2. Step 2: Convert to fraction form
    32,838/49,644 = 49,644/x
  3. Step 3: Cross multiply
    32,838x = 49,644 × 49,644
  4. Step 4: Simplify right side
    32,838x = 2,464,526,736
  5. Step 5: Solve for x
    x = 2,464,526,736/32,838
  6. Step 6: Final answer
    x = 75,051.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.