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Finding the Third Proportional to 8,661.50 and 18,356.50

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Solution

The third proportional to 8,661.50 and 18,356.50 is: 38,903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.50 : 18,356.50 = 18,356.50 : x
  2. Step 2: Convert to fraction form
    8,661.50/18,356.50 = 18,356.50/x
  3. Step 3: Cross multiply
    8,661.50x = 18,356.50 × 18,356.50
  4. Step 4: Simplify right side
    8,661.50x = 336,961,092.25
  5. Step 5: Solve for x
    x = 336,961,092.25/8,661.50
  6. Step 6: Final answer
    x = 38,903.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.