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Finding the Third Proportional to 5,582.25 and 7,950.38

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Solution

The third proportional to 5,582.25 and 7,950.38 is: 11,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.25 : 7,950.38 = 7,950.38 : x
  2. Step 2: Convert to fraction form
    5,582.25/7,950.38 = 7,950.38/x
  3. Step 3: Cross multiply
    5,582.25x = 7,950.38 × 7,950.38
  4. Step 4: Simplify right side
    5,582.25x = 63,208,462.64
  5. Step 5: Solve for x
    x = 63,208,462.64/5,582.25
  6. Step 6: Final answer
    x = 11,323.12

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.