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Finding the Third Proportional to 23,614 and 48,321

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Solution

The third proportional to 23,614 and 48,321 is: 98,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614 : 48,321 = 48,321 : x
  2. Step 2: Convert to fraction form
    23,614/48,321 = 48,321/x
  3. Step 3: Cross multiply
    23,614x = 48,321 × 48,321
  4. Step 4: Simplify right side
    23,614x = 2,334,919,041
  5. Step 5: Solve for x
    x = 2,334,919,041/23,614
  6. Step 6: Final answer
    x = 98,878.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.