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Finding the Third Proportional to 32,852 and 50,574

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Solution

The third proportional to 32,852 and 50,574 is: 77,856.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,852 : 50,574 = 50,574 : x
  2. Step 2: Convert to fraction form
    32,852/50,574 = 50,574/x
  3. Step 3: Cross multiply
    32,852x = 50,574 × 50,574
  4. Step 4: Simplify right side
    32,852x = 2,557,729,476
  5. Step 5: Solve for x
    x = 2,557,729,476/32,852
  6. Step 6: Final answer
    x = 77,856.13

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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.