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Finding the Third Proportional to 21,874.50 and 47,703

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Solution

The third proportional to 21,874.50 and 47,703 is: 104,028.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.50 : 47,703 = 47,703 : x
  2. Step 2: Convert to fraction form
    21,874.50/47,703 = 47,703/x
  3. Step 3: Cross multiply
    21,874.50x = 47,703 × 47,703
  4. Step 4: Simplify right side
    21,874.50x = 2,275,576,209
  5. Step 5: Solve for x
    x = 2,275,576,209/21,874.50
  6. Step 6: Final answer
    x = 104,028.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.