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Finding the Third Proportional to 22,898 and 35,683

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Solution

The third proportional to 22,898 and 35,683 is: 55,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,898 : 35,683 = 35,683 : x
  2. Step 2: Convert to fraction form
    22,898/35,683 = 35,683/x
  3. Step 3: Cross multiply
    22,898x = 35,683 × 35,683
  4. Step 4: Simplify right side
    22,898x = 1,273,276,489
  5. Step 5: Solve for x
    x = 1,273,276,489/22,898
  6. Step 6: Final answer
    x = 55,606.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.