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Finding the Third Proportional to 5,151.41 and 5,622.34

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Solution

The third proportional to 5,151.41 and 5,622.34 is: 6,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.41 : 5,622.34 = 5,622.34 : x
  2. Step 2: Convert to fraction form
    5,151.41/5,622.34 = 5,622.34/x
  3. Step 3: Cross multiply
    5,151.41x = 5,622.34 × 5,622.34
  4. Step 4: Simplify right side
    5,151.41x = 31,610,721.79
  5. Step 5: Solve for x
    x = 31,610,721.79/5,151.41
  6. Step 6: Final answer
    x = 6,136.32

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.