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Finding the Third Proportional to 35,532 and 48,816

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Solution

The third proportional to 35,532 and 48,816 is: 67,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,532 : 48,816 = 48,816 : x
  2. Step 2: Convert to fraction form
    35,532/48,816 = 48,816/x
  3. Step 3: Cross multiply
    35,532x = 48,816 × 48,816
  4. Step 4: Simplify right side
    35,532x = 2,383,001,856
  5. Step 5: Solve for x
    x = 2,383,001,856/35,532
  6. Step 6: Final answer
    x = 67,066.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.