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Finding the Third Proportional to 48,576 and 77,241

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Solution

The third proportional to 48,576 and 77,241 is: 122,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,576 : 77,241 = 77,241 : x
  2. Step 2: Convert to fraction form
    48,576/77,241 = 77,241/x
  3. Step 3: Cross multiply
    48,576x = 77,241 × 77,241
  4. Step 4: Simplify right side
    48,576x = 5,966,172,081
  5. Step 5: Solve for x
    x = 5,966,172,081/48,576
  6. Step 6: Final answer
    x = 122,821.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.