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Finding the Third Proportional to 7,046.38 and 10,925.75

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Solution

The third proportional to 7,046.38 and 10,925.75 is: 16,940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.38 : 10,925.75 = 10,925.75 : x
  2. Step 2: Convert to fraction form
    7,046.38/10,925.75 = 10,925.75/x
  3. Step 3: Cross multiply
    7,046.38x = 10,925.75 × 10,925.75
  4. Step 4: Simplify right side
    7,046.38x = 119,372,013.06
  5. Step 5: Solve for x
    x = 119,372,013.06/7,046.38
  6. Step 6: Final answer
    x = 16,940.91

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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.