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Finding the Third Proportional to 12,650.34 and 18,565.03

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Solution

The third proportional to 12,650.34 and 18,565.03 is: 27,245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.34 : 18,565.03 = 18,565.03 : x
  2. Step 2: Convert to fraction form
    12,650.34/18,565.03 = 18,565.03/x
  3. Step 3: Cross multiply
    12,650.34x = 18,565.03 × 18,565.03
  4. Step 4: Simplify right side
    12,650.34x = 344,660,385.31
  5. Step 5: Solve for x
    x = 344,660,385.31/12,650.34
  6. Step 6: Final answer
    x = 27,245.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.