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Finding the Third Proportional to 32,735 and 50,345

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Solution

The third proportional to 32,735 and 50,345 is: 77,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,735 : 50,345 = 50,345 : x
  2. Step 2: Convert to fraction form
    32,735/50,345 = 50,345/x
  3. Step 3: Cross multiply
    32,735x = 50,345 × 50,345
  4. Step 4: Simplify right side
    32,735x = 2,534,619,025
  5. Step 5: Solve for x
    x = 2,534,619,025/32,735
  6. Step 6: Final answer
    x = 77,428.41

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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.