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Finding the Third Proportional to 8,671.50 and 19,523.25

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Solution

The third proportional to 8,671.50 and 19,523.25 is: 43,955.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.50 : 19,523.25 = 19,523.25 : x
  2. Step 2: Convert to fraction form
    8,671.50/19,523.25 = 19,523.25/x
  3. Step 3: Cross multiply
    8,671.50x = 19,523.25 × 19,523.25
  4. Step 4: Simplify right side
    8,671.50x = 381,157,290.56
  5. Step 5: Solve for x
    x = 381,157,290.56/8,671.50
  6. Step 6: Final answer
    x = 43,955.17

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.