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Finding the Third Proportional to 5,558.63 and 8,152.31

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Solution

The third proportional to 5,558.63 and 8,152.31 is: 11,956.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,558.63 : 8,152.31 = 8,152.31 : x
  2. Step 2: Convert to fraction form
    5,558.63/8,152.31 = 8,152.31/x
  3. Step 3: Cross multiply
    5,558.63x = 8,152.31 × 8,152.31
  4. Step 4: Simplify right side
    5,558.63x = 66,460,199.10
  5. Step 5: Solve for x
    x = 66,460,199.10/5,558.63
  6. Step 6: Final answer
    x = 11,956.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.