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Finding the Third Proportional to 12,873.94 and 19,445.06

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Solution

The third proportional to 12,873.94 and 19,445.06 is: 29,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.94 : 19,445.06 = 19,445.06 : x
  2. Step 2: Convert to fraction form
    12,873.94/19,445.06 = 19,445.06/x
  3. Step 3: Cross multiply
    12,873.94x = 19,445.06 × 19,445.06
  4. Step 4: Simplify right side
    12,873.94x = 378,110,455.63
  5. Step 5: Solve for x
    x = 378,110,455.63/12,873.94
  6. Step 6: Final answer
    x = 29,370.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.