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Finding the Third Proportional to 12,934.69 and 20,050.03

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Solution

The third proportional to 12,934.69 and 20,050.03 is: 31,079.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.69 : 20,050.03 = 20,050.03 : x
  2. Step 2: Convert to fraction form
    12,934.69/20,050.03 = 20,050.03/x
  3. Step 3: Cross multiply
    12,934.69x = 20,050.03 × 20,050.03
  4. Step 4: Simplify right side
    12,934.69x = 402,003,753.13
  5. Step 5: Solve for x
    x = 402,003,753.13/12,934.69
  6. Step 6: Final answer
    x = 31,079.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.