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Finding the Third Proportional to 23,354.50 and 48,371

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Solution

The third proportional to 23,354.50 and 48,371 is: 100,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,354.50 : 48,371 = 48,371 : x
  2. Step 2: Convert to fraction form
    23,354.50/48,371 = 48,371/x
  3. Step 3: Cross multiply
    23,354.50x = 48,371 × 48,371
  4. Step 4: Simplify right side
    23,354.50x = 2,339,753,641
  5. Step 5: Solve for x
    x = 2,339,753,641/23,354.50
  6. Step 6: Final answer
    x = 100,184.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.