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Finding the Third Proportional to 8,628.19 and 12,820.78

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Solution

The third proportional to 8,628.19 and 12,820.78 is: 19,050.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,628.19 : 12,820.78 = 12,820.78 : x
  2. Step 2: Convert to fraction form
    8,628.19/12,820.78 = 12,820.78/x
  3. Step 3: Cross multiply
    8,628.19x = 12,820.78 × 12,820.78
  4. Step 4: Simplify right side
    8,628.19x = 164,372,431.86
  5. Step 5: Solve for x
    x = 164,372,431.86/8,628.19
  6. Step 6: Final answer
    x = 19,050.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.