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Finding the Third Proportional to 17,005.50 and 18,787.50

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Solution

The third proportional to 17,005.50 and 18,787.50 is: 20,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,005.50 : 18,787.50 = 18,787.50 : x
  2. Step 2: Convert to fraction form
    17,005.50/18,787.50 = 18,787.50/x
  3. Step 3: Cross multiply
    17,005.50x = 18,787.50 × 18,787.50
  4. Step 4: Simplify right side
    17,005.50x = 352,970,156.25
  5. Step 5: Solve for x
    x = 352,970,156.25/17,005.50
  6. Step 6: Final answer
    x = 20,756.24

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.