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Finding the Third Proportional to 5,176.22 and 8,071.83

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Solution

The third proportional to 5,176.22 and 8,071.83 is: 12,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.22 : 8,071.83 = 8,071.83 : x
  2. Step 2: Convert to fraction form
    5,176.22/8,071.83 = 8,071.83/x
  3. Step 3: Cross multiply
    5,176.22x = 8,071.83 × 8,071.83
  4. Step 4: Simplify right side
    5,176.22x = 65,154,409.28
  5. Step 5: Solve for x
    x = 65,154,409.28/5,176.22
  6. Step 6: Final answer
    x = 12,587.26

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.