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Finding the Third Proportional to 21,494 and 45,598

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Solution

The third proportional to 21,494 and 45,598 is: 96,732.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494 : 45,598 = 45,598 : x
  2. Step 2: Convert to fraction form
    21,494/45,598 = 45,598/x
  3. Step 3: Cross multiply
    21,494x = 45,598 × 45,598
  4. Step 4: Simplify right side
    21,494x = 2,079,177,604
  5. Step 5: Solve for x
    x = 2,079,177,604/21,494
  6. Step 6: Final answer
    x = 96,732.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.