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Finding the Third Proportional to 8,646.75 and 13,415.63

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Solution

The third proportional to 8,646.75 and 13,415.63 is: 20,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.75 : 13,415.63 = 13,415.63 : x
  2. Step 2: Convert to fraction form
    8,646.75/13,415.63 = 13,415.63/x
  3. Step 3: Cross multiply
    8,646.75x = 13,415.63 × 13,415.63
  4. Step 4: Simplify right side
    8,646.75x = 179,978,994.14
  5. Step 5: Solve for x
    x = 179,978,994.14/8,646.75
  6. Step 6: Final answer
    x = 20,814.64

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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.