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Finding the Third Proportional to 8,633 and 13,649.25

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Solution

The third proportional to 8,633 and 13,649.25 is: 21,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633 : 13,649.25 = 13,649.25 : x
  2. Step 2: Convert to fraction form
    8,633/13,649.25 = 13,649.25/x
  3. Step 3: Cross multiply
    8,633x = 13,649.25 × 13,649.25
  4. Step 4: Simplify right side
    8,633x = 186,302,025.56
  5. Step 5: Solve for x
    x = 186,302,025.56/8,633
  6. Step 6: Final answer
    x = 21,580.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.