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Finding the Third Proportional to 21,984.50 and 48,892

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Solution

The third proportional to 21,984.50 and 48,892 is: 108,732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984.50 : 48,892 = 48,892 : x
  2. Step 2: Convert to fraction form
    21,984.50/48,892 = 48,892/x
  3. Step 3: Cross multiply
    21,984.50x = 48,892 × 48,892
  4. Step 4: Simplify right side
    21,984.50x = 2,390,427,664
  5. Step 5: Solve for x
    x = 2,390,427,664/21,984.50
  6. Step 6: Final answer
    x = 108,732.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.