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Finding the Third Proportional to 13,512.94 and 29,024.58

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Solution

The third proportional to 13,512.94 and 29,024.58 is: 62,342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512.94 : 29,024.58 = 29,024.58 : x
  2. Step 2: Convert to fraction form
    13,512.94/29,024.58 = 29,024.58/x
  3. Step 3: Cross multiply
    13,512.94x = 29,024.58 × 29,024.58
  4. Step 4: Simplify right side
    13,512.94x = 842,426,135.33
  5. Step 5: Solve for x
    x = 842,426,135.33/13,512.94
  6. Step 6: Final answer
    x = 62,342.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.