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Finding the Third Proportional to 34,603 and 44,215

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Solution

The third proportional to 34,603 and 44,215 is: 56,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,603 : 44,215 = 44,215 : x
  2. Step 2: Convert to fraction form
    34,603/44,215 = 44,215/x
  3. Step 3: Cross multiply
    34,603x = 44,215 × 44,215
  4. Step 4: Simplify right side
    34,603x = 1,954,966,225
  5. Step 5: Solve for x
    x = 1,954,966,225/34,603
  6. Step 6: Final answer
    x = 56,497.02

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.