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Finding the Third Proportional to 13,029.75 and 25,411.38

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Solution

The third proportional to 13,029.75 and 25,411.38 is: 49,558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.75 : 25,411.38 = 25,411.38 : x
  2. Step 2: Convert to fraction form
    13,029.75/25,411.38 = 25,411.38/x
  3. Step 3: Cross multiply
    13,029.75x = 25,411.38 × 25,411.38
  4. Step 4: Simplify right side
    13,029.75x = 645,737,979.39
  5. Step 5: Solve for x
    x = 645,737,979.39/13,029.75
  6. Step 6: Final answer
    x = 49,558.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.