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Finding the Third Proportional to 22,374 and 47,050

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Solution

The third proportional to 22,374 and 47,050 is: 98,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,374 : 47,050 = 47,050 : x
  2. Step 2: Convert to fraction form
    22,374/47,050 = 47,050/x
  3. Step 3: Cross multiply
    22,374x = 47,050 × 47,050
  4. Step 4: Simplify right side
    22,374x = 2,213,702,500
  5. Step 5: Solve for x
    x = 2,213,702,500/22,374
  6. Step 6: Final answer
    x = 98,940.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.