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Finding the Third Proportional to 12,471.75 and 19,168.88

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Solution

The third proportional to 12,471.75 and 19,168.88 is: 29,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.75 : 19,168.88 = 19,168.88 : x
  2. Step 2: Convert to fraction form
    12,471.75/19,168.88 = 19,168.88/x
  3. Step 3: Cross multiply
    12,471.75x = 19,168.88 × 19,168.88
  4. Step 4: Simplify right side
    12,471.75x = 367,445,768.77
  5. Step 5: Solve for x
    x = 367,445,768.77/12,471.75
  6. Step 6: Final answer
    x = 29,462.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.