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Finding the Third Proportional to 48,646 and 79,425

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Solution

The third proportional to 48,646 and 79,425 is: 129,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,646 : 79,425 = 79,425 : x
  2. Step 2: Convert to fraction form
    48,646/79,425 = 79,425/x
  3. Step 3: Cross multiply
    48,646x = 79,425 × 79,425
  4. Step 4: Simplify right side
    48,646x = 6,308,330,625
  5. Step 5: Solve for x
    x = 6,308,330,625/48,646
  6. Step 6: Final answer
    x = 129,678.30

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.