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Finding the Third Proportional to 38,824 and 61,576

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Solution

The third proportional to 38,824 and 61,576 is: 97,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,824 : 61,576 = 61,576 : x
  2. Step 2: Convert to fraction form
    38,824/61,576 = 61,576/x
  3. Step 3: Cross multiply
    38,824x = 61,576 × 61,576
  4. Step 4: Simplify right side
    38,824x = 3,791,603,776
  5. Step 5: Solve for x
    x = 3,791,603,776/38,824
  6. Step 6: Final answer
    x = 97,661.34

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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.