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Finding the Third Proportional to 7,707.38 and 16,930.13

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Solution

The third proportional to 7,707.38 and 16,930.13 is: 37,188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.38 : 16,930.13 = 16,930.13 : x
  2. Step 2: Convert to fraction form
    7,707.38/16,930.13 = 16,930.13/x
  3. Step 3: Cross multiply
    7,707.38x = 16,930.13 × 16,930.13
  4. Step 4: Simplify right side
    7,707.38x = 286,629,132.52
  5. Step 5: Solve for x
    x = 286,629,132.52/7,707.38
  6. Step 6: Final answer
    x = 37,188.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.