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Finding the Third Proportional to 12,913.17 and 19,869.05

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Solution

The third proportional to 12,913.17 and 19,869.05 is: 30,571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.17 : 19,869.05 = 19,869.05 : x
  2. Step 2: Convert to fraction form
    12,913.17/19,869.05 = 19,869.05/x
  3. Step 3: Cross multiply
    12,913.17x = 19,869.05 × 19,869.05
  4. Step 4: Simplify right side
    12,913.17x = 394,779,023.72
  5. Step 5: Solve for x
    x = 394,779,023.72/12,913.17
  6. Step 6: Final answer
    x = 30,571.81

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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.