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Finding the Third Proportional to 21,598 and 44,938

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Solution

The third proportional to 21,598 and 44,938 is: 93,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,598 : 44,938 = 44,938 : x
  2. Step 2: Convert to fraction form
    21,598/44,938 = 44,938/x
  3. Step 3: Cross multiply
    21,598x = 44,938 × 44,938
  4. Step 4: Simplify right side
    21,598x = 2,019,423,844
  5. Step 5: Solve for x
    x = 2,019,423,844/21,598
  6. Step 6: Final answer
    x = 93,500.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.