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Finding the Third Proportional to 38,576 and 61,848

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Solution

The third proportional to 38,576 and 61,848 is: 99,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,576 : 61,848 = 61,848 : x
  2. Step 2: Convert to fraction form
    38,576/61,848 = 61,848/x
  3. Step 3: Cross multiply
    38,576x = 61,848 × 61,848
  4. Step 4: Simplify right side
    38,576x = 3,825,175,104
  5. Step 5: Solve for x
    x = 3,825,175,104/38,576
  6. Step 6: Final answer
    x = 99,159.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.