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Finding the Third Proportional to 8,499.75 and 13,193.63

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Solution

The third proportional to 8,499.75 and 13,193.63 is: 20,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.75 : 13,193.63 = 13,193.63 : x
  2. Step 2: Convert to fraction form
    8,499.75/13,193.63 = 13,193.63/x
  3. Step 3: Cross multiply
    8,499.75x = 13,193.63 × 13,193.63
  4. Step 4: Simplify right side
    8,499.75x = 174,071,740.64
  5. Step 5: Solve for x
    x = 174,071,740.64/8,499.75
  6. Step 6: Final answer
    x = 20,479.63

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