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Finding the Third Proportional to 5,234.77 and 8,095.15

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Solution

The third proportional to 5,234.77 and 8,095.15 is: 12,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.77 : 8,095.15 = 8,095.15 : x
  2. Step 2: Convert to fraction form
    5,234.77/8,095.15 = 8,095.15/x
  3. Step 3: Cross multiply
    5,234.77x = 8,095.15 × 8,095.15
  4. Step 4: Simplify right side
    5,234.77x = 65,531,428.23
  5. Step 5: Solve for x
    x = 65,531,428.23/5,234.77
  6. Step 6: Final answer
    x = 12,518.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.