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Finding the Third Proportional to 17,043.75 and 20,182.50

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Solution

The third proportional to 17,043.75 and 20,182.50 is: 23,899.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,043.75 : 20,182.50 = 20,182.50 : x
  2. Step 2: Convert to fraction form
    17,043.75/20,182.50 = 20,182.50/x
  3. Step 3: Cross multiply
    17,043.75x = 20,182.50 × 20,182.50
  4. Step 4: Simplify right side
    17,043.75x = 407,333,306.25
  5. Step 5: Solve for x
    x = 407,333,306.25/17,043.75
  6. Step 6: Final answer
    x = 23,899.28

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.