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Finding the Third Proportional to 8,503.75 and 13,199.75

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Solution

The third proportional to 8,503.75 and 13,199.75 is: 20,489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.75 : 13,199.75 = 13,199.75 : x
  2. Step 2: Convert to fraction form
    8,503.75/13,199.75 = 13,199.75/x
  3. Step 3: Cross multiply
    8,503.75x = 13,199.75 × 13,199.75
  4. Step 4: Simplify right side
    8,503.75x = 174,233,400.06
  5. Step 5: Solve for x
    x = 174,233,400.06/8,503.75
  6. Step 6: Final answer
    x = 20,489.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.