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Finding the Third Proportional to 48,634 and 69,546

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Solution

The third proportional to 48,634 and 69,546 is: 99,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,634 : 69,546 = 69,546 : x
  2. Step 2: Convert to fraction form
    48,634/69,546 = 69,546/x
  3. Step 3: Cross multiply
    48,634x = 69,546 × 69,546
  4. Step 4: Simplify right side
    48,634x = 4,836,646,116
  5. Step 5: Solve for x
    x = 4,836,646,116/48,634
  6. Step 6: Final answer
    x = 99,449.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.