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Finding the Third Proportional to 22,038.50 and 48,451

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Solution

The third proportional to 22,038.50 and 48,451 is: 106,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038.50 : 48,451 = 48,451 : x
  2. Step 2: Convert to fraction form
    22,038.50/48,451 = 48,451/x
  3. Step 3: Cross multiply
    22,038.50x = 48,451 × 48,451
  4. Step 4: Simplify right side
    22,038.50x = 2,347,499,401
  5. Step 5: Solve for x
    x = 2,347,499,401/22,038.50
  6. Step 6: Final answer
    x = 106,518.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.