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Finding the Third Proportional to 32,838 and 50,943

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Solution

The third proportional to 32,838 and 50,943 is: 79,030.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838 : 50,943 = 50,943 : x
  2. Step 2: Convert to fraction form
    32,838/50,943 = 50,943/x
  3. Step 3: Cross multiply
    32,838x = 50,943 × 50,943
  4. Step 4: Simplify right side
    32,838x = 2,595,189,249
  5. Step 5: Solve for x
    x = 2,595,189,249/32,838
  6. Step 6: Final answer
    x = 79,030.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.