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Finding the Third Proportional to 21,745.50 and 47,418

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Solution

The third proportional to 21,745.50 and 47,418 is: 103,399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,745.50 : 47,418 = 47,418 : x
  2. Step 2: Convert to fraction form
    21,745.50/47,418 = 47,418/x
  3. Step 3: Cross multiply
    21,745.50x = 47,418 × 47,418
  4. Step 4: Simplify right side
    21,745.50x = 2,248,466,724
  5. Step 5: Solve for x
    x = 2,248,466,724/21,745.50
  6. Step 6: Final answer
    x = 103,399.17

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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.