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Finding the Third Proportional to 32,729 and 50,336

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Solution

The third proportional to 32,729 and 50,336 is: 77,414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,729 : 50,336 = 50,336 : x
  2. Step 2: Convert to fraction form
    32,729/50,336 = 50,336/x
  3. Step 3: Cross multiply
    32,729x = 50,336 × 50,336
  4. Step 4: Simplify right side
    32,729x = 2,533,712,896
  5. Step 5: Solve for x
    x = 2,533,712,896/32,729
  6. Step 6: Final answer
    x = 77,414.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.