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Finding the Third Proportional to 8,145.56 and 12,365.16

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Solution

The third proportional to 8,145.56 and 12,365.16 is: 18,770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.56 : 12,365.16 = 12,365.16 : x
  2. Step 2: Convert to fraction form
    8,145.56/12,365.16 = 12,365.16/x
  3. Step 3: Cross multiply
    8,145.56x = 12,365.16 × 12,365.16
  4. Step 4: Simplify right side
    8,145.56x = 152,897,089.09
  5. Step 5: Solve for x
    x = 152,897,089.09/8,145.56
  6. Step 6: Final answer
    x = 18,770.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.