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Finding the Third Proportional to 5,389.34 and 8,050.82

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Solution

The third proportional to 5,389.34 and 8,050.82 is: 12,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.34 : 8,050.82 = 8,050.82 : x
  2. Step 2: Convert to fraction form
    5,389.34/8,050.82 = 8,050.82/x
  3. Step 3: Cross multiply
    5,389.34x = 8,050.82 × 8,050.82
  4. Step 4: Simplify right side
    5,389.34x = 64,815,644.81
  5. Step 5: Solve for x
    x = 64,815,644.81/5,389.34
  6. Step 6: Final answer
    x = 12,026.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.