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Finding the Third Proportional to 32,820 and 78,762

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Solution

The third proportional to 32,820 and 78,762 is: 189,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,820 : 78,762 = 78,762 : x
  2. Step 2: Convert to fraction form
    32,820/78,762 = 78,762/x
  3. Step 3: Cross multiply
    32,820x = 78,762 × 78,762
  4. Step 4: Simplify right side
    32,820x = 6,203,452,644
  5. Step 5: Solve for x
    x = 6,203,452,644/32,820
  6. Step 6: Final answer
    x = 189,014.40

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.