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Finding the Third Proportional to 22,396 and 44,791

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Solution

The third proportional to 22,396 and 44,791 is: 89,580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,396 : 44,791 = 44,791 : x
  2. Step 2: Convert to fraction form
    22,396/44,791 = 44,791/x
  3. Step 3: Cross multiply
    22,396x = 44,791 × 44,791
  4. Step 4: Simplify right side
    22,396x = 2,006,233,681
  5. Step 5: Solve for x
    x = 2,006,233,681/22,396
  6. Step 6: Final answer
    x = 89,580.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.