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Finding the Third Proportional to 12,934.69 and 14,271.19

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Solution

The third proportional to 12,934.69 and 14,271.19 is: 15,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.69 : 14,271.19 = 14,271.19 : x
  2. Step 2: Convert to fraction form
    12,934.69/14,271.19 = 14,271.19/x
  3. Step 3: Cross multiply
    12,934.69x = 14,271.19 × 14,271.19
  4. Step 4: Simplify right side
    12,934.69x = 203,666,792.66
  5. Step 5: Solve for x
    x = 203,666,792.66/12,934.69
  6. Step 6: Final answer
    x = 15,745.78

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.