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Finding the Third Proportional to 7,158 and 10,950.50

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Solution

The third proportional to 7,158 and 10,950.50 is: 16,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158 : 10,950.50 = 10,950.50 : x
  2. Step 2: Convert to fraction form
    7,158/10,950.50 = 10,950.50/x
  3. Step 3: Cross multiply
    7,158x = 10,950.50 × 10,950.50
  4. Step 4: Simplify right side
    7,158x = 119,913,450.25
  5. Step 5: Solve for x
    x = 119,913,450.25/7,158
  6. Step 6: Final answer
    x = 16,752.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.