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Finding the Third Proportional to 8,593.50 and 13,009.50

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Solution

The third proportional to 8,593.50 and 13,009.50 is: 19,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,593.50 : 13,009.50 = 13,009.50 : x
  2. Step 2: Convert to fraction form
    8,593.50/13,009.50 = 13,009.50/x
  3. Step 3: Cross multiply
    8,593.50x = 13,009.50 × 13,009.50
  4. Step 4: Simplify right side
    8,593.50x = 169,247,090.25
  5. Step 5: Solve for x
    x = 169,247,090.25/8,593.50
  6. Step 6: Final answer
    x = 19,694.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.