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Finding the Third Proportional to 7,083.88 and 10,429.94

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Solution

The third proportional to 7,083.88 and 10,429.94 is: 15,356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.88 : 10,429.94 = 10,429.94 : x
  2. Step 2: Convert to fraction form
    7,083.88/10,429.94 = 10,429.94/x
  3. Step 3: Cross multiply
    7,083.88x = 10,429.94 × 10,429.94
  4. Step 4: Simplify right side
    7,083.88x = 108,783,596.25
  5. Step 5: Solve for x
    x = 108,783,596.25/7,083.88
  6. Step 6: Final answer
    x = 15,356.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.