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Finding the Third Proportional to 32,878 and 50,586

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Solution

The third proportional to 32,878 and 50,586 is: 77,831.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,878 : 50,586 = 50,586 : x
  2. Step 2: Convert to fraction form
    32,878/50,586 = 50,586/x
  3. Step 3: Cross multiply
    32,878x = 50,586 × 50,586
  4. Step 4: Simplify right side
    32,878x = 2,558,943,396
  5. Step 5: Solve for x
    x = 2,558,943,396/32,878
  6. Step 6: Final answer
    x = 77,831.48

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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.