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Finding the Third Proportional to 12,917.87 and 18,829.44

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Solution

The third proportional to 12,917.87 and 18,829.44 is: 27,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.87 : 18,829.44 = 18,829.44 : x
  2. Step 2: Convert to fraction form
    12,917.87/18,829.44 = 18,829.44/x
  3. Step 3: Cross multiply
    12,917.87x = 18,829.44 × 18,829.44
  4. Step 4: Simplify right side
    12,917.87x = 354,547,708.52
  5. Step 5: Solve for x
    x = 354,547,708.52/12,917.87
  6. Step 6: Final answer
    x = 27,446.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.