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Finding the Third Proportional to 5,107.22 and 7,032.66

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Solution

The third proportional to 5,107.22 and 7,032.66 is: 9,683.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.22 : 7,032.66 = 7,032.66 : x
  2. Step 2: Convert to fraction form
    5,107.22/7,032.66 = 7,032.66/x
  3. Step 3: Cross multiply
    5,107.22x = 7,032.66 × 7,032.66
  4. Step 4: Simplify right side
    5,107.22x = 49,458,253.93
  5. Step 5: Solve for x
    x = 49,458,253.93/5,107.22
  6. Step 6: Final answer
    x = 9,683.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.