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Finding the Third Proportional to 12,903.05 and 19,114.73

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Solution

The third proportional to 12,903.05 and 19,114.73 is: 28,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,903.05 : 19,114.73 = 19,114.73 : x
  2. Step 2: Convert to fraction form
    12,903.05/19,114.73 = 19,114.73/x
  3. Step 3: Cross multiply
    12,903.05x = 19,114.73 × 19,114.73
  4. Step 4: Simplify right side
    12,903.05x = 365,373,070.23
  5. Step 5: Solve for x
    x = 365,373,070.23/12,903.05
  6. Step 6: Final answer
    x = 28,316.81

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.