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Finding the Third Proportional to 5,389.88 and 8,051.63

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Solution

The third proportional to 5,389.88 and 8,051.63 is: 12,027.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.88 : 8,051.63 = 8,051.63 : x
  2. Step 2: Convert to fraction form
    5,389.88/8,051.63 = 8,051.63/x
  3. Step 3: Cross multiply
    5,389.88x = 8,051.63 × 8,051.63
  4. Step 4: Simplify right side
    5,389.88x = 64,828,665.14
  5. Step 5: Solve for x
    x = 64,828,665.14/5,389.88
  6. Step 6: Final answer
    x = 12,027.86

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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.