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Finding the Third Proportional to 8,106.50 and 17,633

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Solution

The third proportional to 8,106.50 and 17,633 is: 38,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.50 : 17,633 = 17,633 : x
  2. Step 2: Convert to fraction form
    8,106.50/17,633 = 17,633/x
  3. Step 3: Cross multiply
    8,106.50x = 17,633 × 17,633
  4. Step 4: Simplify right side
    8,106.50x = 310,922,689
  5. Step 5: Solve for x
    x = 310,922,689/8,106.50
  6. Step 6: Final answer
    x = 38,354.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.