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Finding the Third Proportional to 15,824 and 32,102

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Solution

The third proportional to 15,824 and 32,102 is: 65,125.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824 : 32,102 = 32,102 : x
  2. Step 2: Convert to fraction form
    15,824/32,102 = 32,102/x
  3. Step 3: Cross multiply
    15,824x = 32,102 × 32,102
  4. Step 4: Simplify right side
    15,824x = 1,030,538,404
  5. Step 5: Solve for x
    x = 1,030,538,404/15,824
  6. Step 6: Final answer
    x = 65,125.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.